Litan Saha | University of Dhaka, Bangladesh (original) (raw)
Papers by Litan Saha
Nenji Taikai koen ronbunshu, 2009
Alexandria Engineering Journal
Journal of Engineering Mathematics
Applied Mathematics and Mechanics, 1988
The correlation problem between the blood flow and the motion of vessel wall in the mammalian cir... more The correlation problem between the blood flow and the motion of vessel wall in the mammalian circulatory system is discussed in this paper. Supposing the blood flow is under the stable oscillatory condition, a set of formulas for velocity distribution, pressure distribution, displacement of vessel wall and constraining stress are obtained. Kuchar's formulas are extended from steady flow to unsteady
American Journal of Applied Mathematics, 2015
Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with... more Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.
Supplemental material, sj-pdf-1-pic-10.1177_09544062211027208 for Heat transfer characteristics o... more Supplemental material, sj-pdf-1-pic-10.1177_09544062211027208 for Heat transfer characteristics of nanofluids from a sinusoidal corrugated cylinder placed in a square cavity by Salaika Parvin, Nepal Chandra Roy, Litan Kumar Saha and Sadia Siddiqa in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
AIP Advances, 2020
The effects of thermal radiation and viscous dissipation on the flow and heat transfer of a hybri... more The effects of thermal radiation and viscous dissipation on the flow and heat transfer of a hybrid nanofluid (Cu-Al 2 O 3 /water) past a circular cylinder are investigated for both assisting and opposing flows. The numerical results reveal that the flow and energy fields adjacent to the rear stagnation point are strongly affected by the opposing flow rather than the assisting flow. For the assisting flow, the size of the vortex increases for the higher volume fraction of Cu nanoparticles and Reynolds number, but it decreases with an increase in the Eckert number, conduction-radiation parameter, surface temperature parameter, and Grashof number. In the case of the opposing flow, the converse scenario is observed for all parameters except the Eckert number. For a certain set of parameters, the size of the vortex for the assisting flow is always smaller than that for the opposing flow. In general, the heat transfer for the assisting flow is stronger than that for the opposing flow. For both types of flows, the Nusselt number significantly increases owing to the increase in the volume fraction of Cu nanoparticles and Reynolds number; however, it diminishes for the higher values of the Eckert number, conduction-radiation parameter, and surface temperature parameter. It is remarkable that the Nusselt number for the Cu-Al 2 O 3 /water hybrid nanofluid is found to be higher than that for the Al 2 O 3 /water nanofluid.
Heat Transfer, 2020
Current study expounds an unsteady magnetohydrodynamic natural convective flow along a vertical w... more Current study expounds an unsteady magnetohydrodynamic natural convective flow along a vertical wall in presence of variable transverse magnetic field. Small amplitude undulation in wall heat flux and wall mass flux are imposed at the vertical wall to generate the boundary layer flow. The flow governing
The European Physical Journal Plus, 2020
This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surr... more This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surrounded by two concentric cylinders. The flow is generated in the annulus because of the temperature difference between the heated inner wall and cold outer wall. An appropriate variable transform which transfigures the annular domain into a rectangular one is introduced in this study. The governing equations for the nanofluid phase and dusty phase in transformed coordinates are solved by employing finite difference technique. The momentous results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles volume fraction, the Rayleigh number, the aspect ratio, the density ratio and the dusty parameter. Results establish that the flow strength can be increased by incrementing the nanoparticles volume fraction, the Rayleigh number and the aspect ratio. Besides, heat transfer can be enhanced at the both walls by incrementing the nanoparticles volume fraction and the Rayleigh number and can be diminished by incrementing the density ratio and the dusty parameter.
Journal of Thermal Analysis and Calorimetry, 2020
This study elucidates a numerical simulation of natural convective flow inside a confined 2D reac... more This study elucidates a numerical simulation of natural convective flow inside a confined 2D reactor containing a fluidsaturated non-Darcy porous medium. The lower wall of the reactor is wavy, while all other walls are plane surfaces. All walls of the reactor are kept at surrounding temperature. A chemically reacting fluid produces flow within the reactor by a heat generating exothermic reaction. A coordinate transform is dispensed to turn the waviness of walls into the plane surface, and then, the flow governing equations in transformed coordinates are solved using the finite difference scheme. Streamlines and isotherms that describe, respectively, the flow patterns and temperature distributions within the reactor are displayed varying the dimensionless numbers, namely the Darcy number (10 −4 ≤ Da ≤ 10 −2), the Rayleigh number (10 3 ≤ Ra ≤ 10 5), the Frank-Kamenetskii number (0.5 ≤ K f ≤ 3.0) and the Forchheimer drag parameter (0 ≤ F ≤ 1). Also local Nusselt numbers at the upper and lower walls are plotted to observe the heat transfer characteristics. The remarkable results reveal that the strength of vorticity and the highest temperature within the reactor increase with increasing the Frank-Kamenetskii number and the amplitude of waves. Because of increasing the Darcy number and Rayleigh number, the strength of vorticity enhances but the highest temperature diminishes. Opposite characteristics are observed due to an increase in the Forchheimer drag parameter. Heat transfer is relatively stronger in plane wall than in wavy wall in every case of dimensionless number. Moreover, maximum heat transfer is noticed at the points on the upper wall that are exactly above the peaks of the wave.
International Journal of Applied and Computational Mathematics, 2019
This study describes numerically forced convection laminar fluid flow simulation in a two dimensi... more This study describes numerically forced convection laminar fluid flow simulation in a two dimensional channel containing three obstacles over backward and forward facing steps by using the lattice Boltzmann method (LBM). The LBM and the finite difference successive over relaxation method are simultaneously used to simulate the equations which govern the flow in terms of vorticity equation and energy equation. Heated fluid is impinged to flow in the channel while the solid surfaces of obstacles and channel are maintained at a lower constant temperature. The impacts on the temperature distribution and flow for changing Reynolds number are recapitulated for a fixed Prandtl number. Also, the impacts of Prandtl numbers on the flow and temperature distribution are discussed in this study. Two levels of Nusselt numbers, the local values and the mean values on the surfaces of the three obstacles, are emphasized to illustrate heat transfer rate from fluid. It is observed that 80% increase at heat transfer is noticed due to increase of Reynolds number of 100 within the range from 100 to 300. It is also observed that 60-30% increase at heat transfer is observed due to increase of Prandtl number of unity within the range from 0.71 to 13.4.
Heat Transfer, 2020
We investigate the effects of temperature-dependent viscosity variations on the flow and heat tra... more We investigate the effects of temperature-dependent viscosity variations on the flow and heat transfer characteristics in an artery in the presence of stenosis. The dimensionless governing equations have been solved using the implicit finite difference method. The local skin friction coefficient and the local Nusselt number at the lower and upper walls are found to be stronger with the increase of stenosis. With the change of position of the upper stenosis, the skin friction and the Nusselt number at the lower plate demonstrate distinct characteristics. A remarkable result is that when the viscosity variation parameter is increased, the vortices following the stenosis become smaller in size. Moreover, the size of vortices increases with the increase of stenosis, whereas it is found to decrease owing to the change of position of the upper stenosis. K E Y W O R D S stenosis, temperature-dependent viscosity, vortex 1 | INTRODUCTION Stenosis is considered to be a dire consequence for the biological process. It may develop in the arterial system because of abnormal intravascular growth, for example, atherosclerotic plaques 1-4 or injury to the intima. Prior and Hutter 5 and Gutstein et al 6 experimentally showed that a mechanically induced small defect in the vascular wall can cause large lesions immediately after the defect area and subsequently reduce the cross-sectional area at that location of the artery.
Heat Transfer-Asian Research, 2019
Fluid Dynamics Research, 2021
Electrohydrodynamic enhancement of the laminar natural convection nanofluid flow in a closed cavi... more Electrohydrodynamic enhancement of the laminar natural convection nanofluid flow in a closed cavity is investigated numerically. The bottom wall of the cavity is considered to be a wavy surface and is kept at a high temperature compared to the other flat walls which are maintained at the environment temperature. The electric field is generated from the lower surface which is charged with a uniform voltage of direct current (DC). The interaction of the fluid motion, thermal field, and the electric field for the dielectric nanofluid are formulated using the principles of mass, momentum, and energy conservation along with Maxwell’s and Gauss’s law. A suitable coordinate transformation is used to convert the given set of equations into a form, suitable for the implementation of the finite difference method. Results show that the electric field, induced by the charged particles, significantly influence the flow field within the cavity. It is found that the number of convective cells prod...
AIP Advances, 2021
A numerical investigation has been executed in a curve-shaped enclosure crammed with a hybrid nan... more A numerical investigation has been executed in a curve-shaped enclosure crammed with a hybrid nanofluid containing a wavy-shaped inner cylinder with the existence of a magnetic field. A mixture of copper and alumina nanoparticles in a normal water-based solution is used to create the hybrid nanofluid. The natural convective flow in the enclosure is generated as a result of the temperature difference between a cold outer curve-shaped enclosure and a hot inner wavy cylinder. A numerical parametric examination is performed for several values of the Rayleigh number, volume concentration of nanoparticles, Hartmann number, and wave number of the inner cylinder. Outcomes are explained in terms of velocity field, isotherms, and local and average Nusselt numbers with changes in physically significant parameters. The outcomes reveal that the rate of thermal transmission is considerably augmented for rising the concentration of the hybrid nanofluid and Rayleigh number; however, with a higher H...
The electric potential distribution in a single polymer electrolyte fuel cell has been investigat... more The electric potential distribution in a single polymer electrolyte fuel cell has been investigated by three-dimensional numerical simulation using a transient, gas-liquid two-phase and non-isothermal mathematical model. We found that the magnitude of electronic phase potential under the gas channel is larger than that under the separator. The proton phase potential gradient in the membrane is almost a con- stant from anode to cathode. The over-potential at the anode catalyst layer is smaller than that at the cathode side. The effect of mass transfer on the potential has also been analyzed.
Applied Mathematics-a Journal of Chinese Universities Series B, 2014
Magnetohydrodynamic (MHD) free convection boundary layer flow of a viscous incompressible fluid a... more Magnetohydrodynamic (MHD) free convection boundary layer flow of a viscous incompressible fluid along a vertical plate has been studied numerically where the effect of radiation and the surface temperature oscillation is taken into account. The governing boundary layer equations have been solved by employing two distinct methods, namely, the primitive variable method and the Keller box method. A comparison between the primitive variable method and the Keller box method is made that provides a good agreement. The effects of varying the Prandtl number, Pr, the magnetic field parameter, M, and the conduction-radiation parameter, Rd, are discussed in terms of amplitude and phase angle of skin friction for fluid having Prandtl number equals 0.1. Also we have investigated the effects of these parameters on the amplitude of oscillation of transient skin-friction and transient heat transfer and on the streamlines and isolines of temperature.
A numerical study is performed to investigate nanofluids' flow field and heat transfer charac... more A numerical study is performed to investigate nanofluids' flow field and heat transfer characteristics between the domain bounded by a square and a wavy cylinder. The left and right walls of the cavity are at constant low temperature while its other adjacent walls are insulated. The convective phenomena take place due to the higher temperature of the inner corrugated surface. Super elliptic functions are used to transform the governing equations of the classical rectangular enclosure into a system of equations valid for concentric cylinders. The resulting equations are solved iteratively with the implicit finite difference method. Parametric results are presented in terms of streamlines, isotherms, local and average Nusselt numbers for a wide range of scaled parameters such as nanoparticles concentration, Rayleigh number, and aspect ratio. Several correlations have been deduced at the inner and outer surface of the cylinders for the average Nusselt number, which gives a good agr...
Nenji Taikai koen ronbunshu, 2009
Alexandria Engineering Journal
Journal of Engineering Mathematics
Applied Mathematics and Mechanics, 1988
The correlation problem between the blood flow and the motion of vessel wall in the mammalian cir... more The correlation problem between the blood flow and the motion of vessel wall in the mammalian circulatory system is discussed in this paper. Supposing the blood flow is under the stable oscillatory condition, a set of formulas for velocity distribution, pressure distribution, displacement of vessel wall and constraining stress are obtained. Kuchar's formulas are extended from steady flow to unsteady
American Journal of Applied Mathematics, 2015
Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with... more Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.
Supplemental material, sj-pdf-1-pic-10.1177_09544062211027208 for Heat transfer characteristics o... more Supplemental material, sj-pdf-1-pic-10.1177_09544062211027208 for Heat transfer characteristics of nanofluids from a sinusoidal corrugated cylinder placed in a square cavity by Salaika Parvin, Nepal Chandra Roy, Litan Kumar Saha and Sadia Siddiqa in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
AIP Advances, 2020
The effects of thermal radiation and viscous dissipation on the flow and heat transfer of a hybri... more The effects of thermal radiation and viscous dissipation on the flow and heat transfer of a hybrid nanofluid (Cu-Al 2 O 3 /water) past a circular cylinder are investigated for both assisting and opposing flows. The numerical results reveal that the flow and energy fields adjacent to the rear stagnation point are strongly affected by the opposing flow rather than the assisting flow. For the assisting flow, the size of the vortex increases for the higher volume fraction of Cu nanoparticles and Reynolds number, but it decreases with an increase in the Eckert number, conduction-radiation parameter, surface temperature parameter, and Grashof number. In the case of the opposing flow, the converse scenario is observed for all parameters except the Eckert number. For a certain set of parameters, the size of the vortex for the assisting flow is always smaller than that for the opposing flow. In general, the heat transfer for the assisting flow is stronger than that for the opposing flow. For both types of flows, the Nusselt number significantly increases owing to the increase in the volume fraction of Cu nanoparticles and Reynolds number; however, it diminishes for the higher values of the Eckert number, conduction-radiation parameter, and surface temperature parameter. It is remarkable that the Nusselt number for the Cu-Al 2 O 3 /water hybrid nanofluid is found to be higher than that for the Al 2 O 3 /water nanofluid.
Heat Transfer, 2020
Current study expounds an unsteady magnetohydrodynamic natural convective flow along a vertical w... more Current study expounds an unsteady magnetohydrodynamic natural convective flow along a vertical wall in presence of variable transverse magnetic field. Small amplitude undulation in wall heat flux and wall mass flux are imposed at the vertical wall to generate the boundary layer flow. The flow governing
The European Physical Journal Plus, 2020
This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surr... more This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surrounded by two concentric cylinders. The flow is generated in the annulus because of the temperature difference between the heated inner wall and cold outer wall. An appropriate variable transform which transfigures the annular domain into a rectangular one is introduced in this study. The governing equations for the nanofluid phase and dusty phase in transformed coordinates are solved by employing finite difference technique. The momentous results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles volume fraction, the Rayleigh number, the aspect ratio, the density ratio and the dusty parameter. Results establish that the flow strength can be increased by incrementing the nanoparticles volume fraction, the Rayleigh number and the aspect ratio. Besides, heat transfer can be enhanced at the both walls by incrementing the nanoparticles volume fraction and the Rayleigh number and can be diminished by incrementing the density ratio and the dusty parameter.
Journal of Thermal Analysis and Calorimetry, 2020
This study elucidates a numerical simulation of natural convective flow inside a confined 2D reac... more This study elucidates a numerical simulation of natural convective flow inside a confined 2D reactor containing a fluidsaturated non-Darcy porous medium. The lower wall of the reactor is wavy, while all other walls are plane surfaces. All walls of the reactor are kept at surrounding temperature. A chemically reacting fluid produces flow within the reactor by a heat generating exothermic reaction. A coordinate transform is dispensed to turn the waviness of walls into the plane surface, and then, the flow governing equations in transformed coordinates are solved using the finite difference scheme. Streamlines and isotherms that describe, respectively, the flow patterns and temperature distributions within the reactor are displayed varying the dimensionless numbers, namely the Darcy number (10 −4 ≤ Da ≤ 10 −2), the Rayleigh number (10 3 ≤ Ra ≤ 10 5), the Frank-Kamenetskii number (0.5 ≤ K f ≤ 3.0) and the Forchheimer drag parameter (0 ≤ F ≤ 1). Also local Nusselt numbers at the upper and lower walls are plotted to observe the heat transfer characteristics. The remarkable results reveal that the strength of vorticity and the highest temperature within the reactor increase with increasing the Frank-Kamenetskii number and the amplitude of waves. Because of increasing the Darcy number and Rayleigh number, the strength of vorticity enhances but the highest temperature diminishes. Opposite characteristics are observed due to an increase in the Forchheimer drag parameter. Heat transfer is relatively stronger in plane wall than in wavy wall in every case of dimensionless number. Moreover, maximum heat transfer is noticed at the points on the upper wall that are exactly above the peaks of the wave.
International Journal of Applied and Computational Mathematics, 2019
This study describes numerically forced convection laminar fluid flow simulation in a two dimensi... more This study describes numerically forced convection laminar fluid flow simulation in a two dimensional channel containing three obstacles over backward and forward facing steps by using the lattice Boltzmann method (LBM). The LBM and the finite difference successive over relaxation method are simultaneously used to simulate the equations which govern the flow in terms of vorticity equation and energy equation. Heated fluid is impinged to flow in the channel while the solid surfaces of obstacles and channel are maintained at a lower constant temperature. The impacts on the temperature distribution and flow for changing Reynolds number are recapitulated for a fixed Prandtl number. Also, the impacts of Prandtl numbers on the flow and temperature distribution are discussed in this study. Two levels of Nusselt numbers, the local values and the mean values on the surfaces of the three obstacles, are emphasized to illustrate heat transfer rate from fluid. It is observed that 80% increase at heat transfer is noticed due to increase of Reynolds number of 100 within the range from 100 to 300. It is also observed that 60-30% increase at heat transfer is observed due to increase of Prandtl number of unity within the range from 0.71 to 13.4.
Heat Transfer, 2020
We investigate the effects of temperature-dependent viscosity variations on the flow and heat tra... more We investigate the effects of temperature-dependent viscosity variations on the flow and heat transfer characteristics in an artery in the presence of stenosis. The dimensionless governing equations have been solved using the implicit finite difference method. The local skin friction coefficient and the local Nusselt number at the lower and upper walls are found to be stronger with the increase of stenosis. With the change of position of the upper stenosis, the skin friction and the Nusselt number at the lower plate demonstrate distinct characteristics. A remarkable result is that when the viscosity variation parameter is increased, the vortices following the stenosis become smaller in size. Moreover, the size of vortices increases with the increase of stenosis, whereas it is found to decrease owing to the change of position of the upper stenosis. K E Y W O R D S stenosis, temperature-dependent viscosity, vortex 1 | INTRODUCTION Stenosis is considered to be a dire consequence for the biological process. It may develop in the arterial system because of abnormal intravascular growth, for example, atherosclerotic plaques 1-4 or injury to the intima. Prior and Hutter 5 and Gutstein et al 6 experimentally showed that a mechanically induced small defect in the vascular wall can cause large lesions immediately after the defect area and subsequently reduce the cross-sectional area at that location of the artery.
Heat Transfer-Asian Research, 2019
Fluid Dynamics Research, 2021
Electrohydrodynamic enhancement of the laminar natural convection nanofluid flow in a closed cavi... more Electrohydrodynamic enhancement of the laminar natural convection nanofluid flow in a closed cavity is investigated numerically. The bottom wall of the cavity is considered to be a wavy surface and is kept at a high temperature compared to the other flat walls which are maintained at the environment temperature. The electric field is generated from the lower surface which is charged with a uniform voltage of direct current (DC). The interaction of the fluid motion, thermal field, and the electric field for the dielectric nanofluid are formulated using the principles of mass, momentum, and energy conservation along with Maxwell’s and Gauss’s law. A suitable coordinate transformation is used to convert the given set of equations into a form, suitable for the implementation of the finite difference method. Results show that the electric field, induced by the charged particles, significantly influence the flow field within the cavity. It is found that the number of convective cells prod...
AIP Advances, 2021
A numerical investigation has been executed in a curve-shaped enclosure crammed with a hybrid nan... more A numerical investigation has been executed in a curve-shaped enclosure crammed with a hybrid nanofluid containing a wavy-shaped inner cylinder with the existence of a magnetic field. A mixture of copper and alumina nanoparticles in a normal water-based solution is used to create the hybrid nanofluid. The natural convective flow in the enclosure is generated as a result of the temperature difference between a cold outer curve-shaped enclosure and a hot inner wavy cylinder. A numerical parametric examination is performed for several values of the Rayleigh number, volume concentration of nanoparticles, Hartmann number, and wave number of the inner cylinder. Outcomes are explained in terms of velocity field, isotherms, and local and average Nusselt numbers with changes in physically significant parameters. The outcomes reveal that the rate of thermal transmission is considerably augmented for rising the concentration of the hybrid nanofluid and Rayleigh number; however, with a higher H...
The electric potential distribution in a single polymer electrolyte fuel cell has been investigat... more The electric potential distribution in a single polymer electrolyte fuel cell has been investigated by three-dimensional numerical simulation using a transient, gas-liquid two-phase and non-isothermal mathematical model. We found that the magnitude of electronic phase potential under the gas channel is larger than that under the separator. The proton phase potential gradient in the membrane is almost a con- stant from anode to cathode. The over-potential at the anode catalyst layer is smaller than that at the cathode side. The effect of mass transfer on the potential has also been analyzed.
Applied Mathematics-a Journal of Chinese Universities Series B, 2014
Magnetohydrodynamic (MHD) free convection boundary layer flow of a viscous incompressible fluid a... more Magnetohydrodynamic (MHD) free convection boundary layer flow of a viscous incompressible fluid along a vertical plate has been studied numerically where the effect of radiation and the surface temperature oscillation is taken into account. The governing boundary layer equations have been solved by employing two distinct methods, namely, the primitive variable method and the Keller box method. A comparison between the primitive variable method and the Keller box method is made that provides a good agreement. The effects of varying the Prandtl number, Pr, the magnetic field parameter, M, and the conduction-radiation parameter, Rd, are discussed in terms of amplitude and phase angle of skin friction for fluid having Prandtl number equals 0.1. Also we have investigated the effects of these parameters on the amplitude of oscillation of transient skin-friction and transient heat transfer and on the streamlines and isolines of temperature.
A numerical study is performed to investigate nanofluids' flow field and heat transfer charac... more A numerical study is performed to investigate nanofluids' flow field and heat transfer characteristics between the domain bounded by a square and a wavy cylinder. The left and right walls of the cavity are at constant low temperature while its other adjacent walls are insulated. The convective phenomena take place due to the higher temperature of the inner corrugated surface. Super elliptic functions are used to transform the governing equations of the classical rectangular enclosure into a system of equations valid for concentric cylinders. The resulting equations are solved iteratively with the implicit finite difference method. Parametric results are presented in terms of streamlines, isotherms, local and average Nusselt numbers for a wide range of scaled parameters such as nanoparticles concentration, Rayleigh number, and aspect ratio. Several correlations have been deduced at the inner and outer surface of the cylinders for the average Nusselt number, which gives a good agr...