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Volume 8 Issue 7 by sharad sinha

Research paper thumbnail of STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM

International Journal of Engineering Technologies and Management Research, 2021

A viscous electrically conducting luid is considered and its steady mixed convective low along a ... more A viscous electrically conducting luid is considered and its steady mixed convective low along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic ield, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in luid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.

Papers by sharad sinha

Research paper thumbnail of Combined Effects of Viscous Dissipation and Joule Heating on Unsteady MHD Flow and Heat Transfer over a Stretching Sheet Saturated in Porous Medium

Annals of Pure and Applied Mathematics

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretch... more The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study of governing parameters such as radiation, heat source/sink, unsteadiness, permeability and magnetic parameter along with Prandtl number and Eckert number are carried out. The effect of these parameters on fluid velocity, fluid temperature, skin-friction coefficient and Nusselt number are presented through figures and discussed numerically.

Research paper thumbnail of Steady MHD Slip Flow Over a Permeable Stretching Cylinder with Thermal Radiation

International Journal of Engineering Technologies and Management Research

Aim of the paper is to investigate the effects of thermal radiation and velocity slip on steady M... more Aim of the paper is to investigate the effects of thermal radiation and velocity slip on steady MHD slip flow of viscous incompressible electrically conducting fluid over a permeable stretching cylinder saturated in porous medium in the presence of external magnetic field. The governing nonlinear partial differential equations are transformed into ordinary differential equations by suitable similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. Effect of various physical parameters on fluid velocity, temperature, skin –friction coefficient and Nusselt number are presented through graphs and discussed numerically.

Research paper thumbnail of Time Dependent Magnetohydrodynamic Flow of CuO/Al2O3/TiO2 Water Based Nanofluid along a Vertical Permeable Stretching Surface

Colloid Journal

Abstract Time dependent magnetohydrodynamic flow of viscous incompressible CuO/Al 2 O 3 /TiO 2 wa... more Abstract Time dependent magnetohydrodynamic flow of viscous incompressible CuO/Al 2 O 3 /TiO 2 water based nanofluid along a vertical permeable stretching surface in the presence of external magnetic field, thermal radiation and viscous dissipation is investigated. Apart from these effects, it is assumed that the surface is saturated in porous medium. Mathematical formulation of the problem is highly nonlinear coupled partial differential equations. To obtain the solution, at first these equations are transformed into ordinary differential equations by using suitable Lie transformation, then numerical solution of this system of equations are obtained. Numerical observations are compared with the previous studies. Comparative study of effects of different parameters such as Lewis number, concentration buoyancy ratio parameter, solid volume fraction of the nanofluid, Richardson number, radiation parameter, unsteadiness parameter, permeability parameter etc. on velocity, temperature, and concentration of nanofluids have been presented through graphs. The skin friction coefficient, Nusselt number and Sherwood number at the surface are derived, discussed numerically and their numerical values are presented through tables.

Research paper thumbnail of Mhd Mixed Convective Slip Flow, Heat and Mass Transfer along a Vertical Porous Plate

Aim of the paper is to investigate the effects of velocity slip and thermal slip on MHD mixed con... more Aim of the paper is to investigate the effects of velocity slip and thermal slip on MHD mixed convective flow along vertical porous plate in the presence of a non-uniform magnetic field. The governing nonlinear partial differential equations have been transformed into two point boundary value problem using similarity transformation and numerical solution is obtained by using Runge-Kutta fourth order scheme with shooting technique. The velocity, temperature and concentration profiles are shown through graphs and discussed numerically. The skin friction, rate of heat and mass transfer at the plate are derived, discussed numerically and presented through tables for different values of physical parameters. Â 2010 Mathematics Classification No.: 76W05, 76S05, 76D09, 76R10.

Research paper thumbnail of MHD mixed convective stagnation point flow along a vertical stretching sheet with heat source/sink

International Journal of Heat and Mass Transfer

Abstract Aim of the paper is to investigate the effects of heat generation/absorption on MHD mixe... more Abstract Aim of the paper is to investigate the effects of heat generation/absorption on MHD mixed convective stagnation point flow along a vertical stretching sheet in the presence of external magnetic field. The governing boundary layer equations are formulated and transformed into nonlinear ordinary coupled differential equations using similarity transformation and numerical solution is obtained by using Runge-Kutta fourth order scheme with shooting technique. The effects of various physical parameters such as velocity ratio parameter, mixed convection parameter, Hartmann number, Prandtl number and heat source/sink on velocity and temperature distributions are presented through graphs and discussed numerically. The skin friction coefficientand Nusselt number at the sheet are derived, discussed numerically and their numerical values are presented through tables.

Research paper thumbnail of Combined Effects of Viscous Dissipation and Joule Heating on Unsteady MHD Flow and Heat Transfer over a Stretching Sheet Saturated in Porous Medium

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretch... more The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study of governing parameters such as radiation, heat source/sink, unsteadiness, permeability and magnetic parameter along with Prandtl number and Eckert number are carried out. The effect of these parameters on fluid velocity, fluid temperature, skin-friction coefficient and Nusselt number are presented through figures and discussed numerically.

Research paper thumbnail of STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM

International Journal of Engineering Technologies and Management Research, 2021

A viscous electrically conducting luid is considered and its steady mixed convective low along a ... more A viscous electrically conducting luid is considered and its steady mixed convective low along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic ield, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in luid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.

Research paper thumbnail of Combined Effects of Viscous Dissipation and Joule Heating on Unsteady MHD Flow and Heat Transfer over a Stretching Sheet Saturated in Porous Medium

Annals of Pure and Applied Mathematics

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretch... more The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study of governing parameters such as radiation, heat source/sink, unsteadiness, permeability and magnetic parameter along with Prandtl number and Eckert number are carried out. The effect of these parameters on fluid velocity, fluid temperature, skin-friction coefficient and Nusselt number are presented through figures and discussed numerically.

Research paper thumbnail of Steady MHD Slip Flow Over a Permeable Stretching Cylinder with Thermal Radiation

International Journal of Engineering Technologies and Management Research

Aim of the paper is to investigate the effects of thermal radiation and velocity slip on steady M... more Aim of the paper is to investigate the effects of thermal radiation and velocity slip on steady MHD slip flow of viscous incompressible electrically conducting fluid over a permeable stretching cylinder saturated in porous medium in the presence of external magnetic field. The governing nonlinear partial differential equations are transformed into ordinary differential equations by suitable similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. Effect of various physical parameters on fluid velocity, temperature, skin –friction coefficient and Nusselt number are presented through graphs and discussed numerically.

Research paper thumbnail of Time Dependent Magnetohydrodynamic Flow of CuO/Al2O3/TiO2 Water Based Nanofluid along a Vertical Permeable Stretching Surface

Colloid Journal

Abstract Time dependent magnetohydrodynamic flow of viscous incompressible CuO/Al 2 O 3 /TiO 2 wa... more Abstract Time dependent magnetohydrodynamic flow of viscous incompressible CuO/Al 2 O 3 /TiO 2 water based nanofluid along a vertical permeable stretching surface in the presence of external magnetic field, thermal radiation and viscous dissipation is investigated. Apart from these effects, it is assumed that the surface is saturated in porous medium. Mathematical formulation of the problem is highly nonlinear coupled partial differential equations. To obtain the solution, at first these equations are transformed into ordinary differential equations by using suitable Lie transformation, then numerical solution of this system of equations are obtained. Numerical observations are compared with the previous studies. Comparative study of effects of different parameters such as Lewis number, concentration buoyancy ratio parameter, solid volume fraction of the nanofluid, Richardson number, radiation parameter, unsteadiness parameter, permeability parameter etc. on velocity, temperature, and concentration of nanofluids have been presented through graphs. The skin friction coefficient, Nusselt number and Sherwood number at the surface are derived, discussed numerically and their numerical values are presented through tables.

Research paper thumbnail of Mhd Mixed Convective Slip Flow, Heat and Mass Transfer along a Vertical Porous Plate

Aim of the paper is to investigate the effects of velocity slip and thermal slip on MHD mixed con... more Aim of the paper is to investigate the effects of velocity slip and thermal slip on MHD mixed convective flow along vertical porous plate in the presence of a non-uniform magnetic field. The governing nonlinear partial differential equations have been transformed into two point boundary value problem using similarity transformation and numerical solution is obtained by using Runge-Kutta fourth order scheme with shooting technique. The velocity, temperature and concentration profiles are shown through graphs and discussed numerically. The skin friction, rate of heat and mass transfer at the plate are derived, discussed numerically and presented through tables for different values of physical parameters. Â 2010 Mathematics Classification No.: 76W05, 76S05, 76D09, 76R10.

Research paper thumbnail of MHD mixed convective stagnation point flow along a vertical stretching sheet with heat source/sink

International Journal of Heat and Mass Transfer

Abstract Aim of the paper is to investigate the effects of heat generation/absorption on MHD mixe... more Abstract Aim of the paper is to investigate the effects of heat generation/absorption on MHD mixed convective stagnation point flow along a vertical stretching sheet in the presence of external magnetic field. The governing boundary layer equations are formulated and transformed into nonlinear ordinary coupled differential equations using similarity transformation and numerical solution is obtained by using Runge-Kutta fourth order scheme with shooting technique. The effects of various physical parameters such as velocity ratio parameter, mixed convection parameter, Hartmann number, Prandtl number and heat source/sink on velocity and temperature distributions are presented through graphs and discussed numerically. The skin friction coefficientand Nusselt number at the sheet are derived, discussed numerically and their numerical values are presented through tables.

Research paper thumbnail of Combined Effects of Viscous Dissipation and Joule Heating on Unsteady MHD Flow and Heat Transfer over a Stretching Sheet Saturated in Porous Medium

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretch... more The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study of governing parameters such as radiation, heat source/sink, unsteadiness, permeability and magnetic parameter along with Prandtl number and Eckert number are carried out. The effect of these parameters on fluid velocity, fluid temperature, skin-friction coefficient and Nusselt number are presented through figures and discussed numerically.