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Papers by M. Sathiyamoorthy
International Journal of Heat and Mass Transfer, 2007
Special Topics & Reviews in Porous Media - An International Journal
Special Topics and Reviews in Porous Media
Special Topics & Reviews in Porous Media - An International Journal, 2013
Transport in Porous Media, 2011
ABSTRACT Natural convection flow in a differentially heated square enclosure filled with porous m... more ABSTRACT Natural convection flow in a differentially heated square enclosure filled with porous matrix with a solid adiabatic thin fin attached at the hot left wall is studied numerically. The Brinkman–Forchheimer-extended Darcy model is used to solve the momentum equations, in the porous medium. The numerical investigation is done through streamlines, isotherms, and heat transfer rates. A parametric study is carried out using the following parameters: Darcy number (Da) from 10−4 to 10−2, dimensionless thin fin lengths (L p) 0.3, 0.5, and 0.7, dimensionless positions (S p) 0.25, 0.5, and 0.75 with Prandtl numbers (Pr) 0.7 and 100 for Ra =106. For Da =10−3 and Pr =0.7, it is observed that there is a counter clock-wise secondary flow formation around the tip of the fin for S p = 0.5 for all lengths of L p. Moreover when Da =10−2 the secondary circulation behavior has been observed for S p = 0.25 and 0.75 and there is another circulation between the top wall and the fin that is separated from the primary circulation. However, these secondary circulations features are not observed for Pr=100. It is also found that the average Nusselt number decreases as the length of the fin increases for all locations. However, the rate of decrease of average Nusselt number becomes slower as the location of fin moves from the bottom wall to the top wall. The overall heat transfer rate can be controlled with a suitable selection of the fin location and length. KeywordsNatural convection–Non-Darcy flow–Thin fin–Square cavity
Journal of Porous Media, 2011
ABSTRACT A finite element analysis has been carried out to study the influence of a sinusoidally ... more ABSTRACT A finite element analysis has been carried out to study the influence of a sinusoidally heated bottom wall and linearly heated side walls on natural convection flows in a square cavity filled with a porous medium when the top wall is well insulated. The Darcy-Forchheimer model without the inertia term is used to predict the temperature and flow circulations in the porous medium. In the present study, for a non-uniformly heated bottom wall, the maximum temperature TH was attained at the center of the bottom wall. The side walls were linearly heated, maintaining minimum temperature Tc at the top edges of the side walls and temperature Th at the bottom edges of the side walls; i.e, Tc ≤ Th ≤ TH. The penalty finite-element method with bi-quadratic rectangular elements was used to solve the non-dimensional governing equations for coupled thermal and flow fields. Numerical results are presented for a wide range of parameters of temperature difference aspect ratio A = (Th − Tc)/(TH − Tc)(0 ≤ A ≤ 1) and Darcy number Da (10−5 ≤ Da ≤ 10−3) for higher Rayleigh number Ra = 106 and Prandtl number Pr = 0.7 in terms of stream functions and isotherm contours. Furthermore, the effect of the temperature difference aspect ratio on local and average Nusselt numbers has been analyzed.
Journal of Porous Media, 2011
Journal of Heat Transfer, 2007
The present numerical investigation deals with steady natural convection flow in a closed square ... more The present numerical investigation deals with steady natural convection flow in a closed square cavity when the bottom wall is sinusoidal heated and vertical walls are linearly heated, whereas the top wall is well insulated. In the nonuniformly heated bottom wall maximum temperature TH attains at the center of the bottom wall. The sidewalls are linearly heated, maintained at minimum temperature Tc at top edges of the sidewalls and at temperature Th at the bottom edges of the sidewalls, i.e., Tc≤Th≤TH. Nonlinear coupled PDEs governing the flow have been solved by the penalty finite element method with biquadratic rectangular elements. Numerical results are obtained for various values of Prandtl number (Pr)(0.01≤Pr≤10) and temperature difference aspect ratio A=[(Th−Tc)∕(TH−Tc)](0≤A≤1) for higher Raleigh number Ra=105. Results are presented in the form of streamlines, isotherm contours, local Nusselt number, and the average Nusselt number as a function of temperature difference aspect...
International Journal of Heat and Mass Transfer, 2007
Journal of Heat Transfer-transactions of The Asme, 2007
The present numerical investigation deals with steady natural convection flow in a closed square ... more The present numerical investigation deals with steady natural convection flow in a closed square cavity when the bottom wall is sinusoidal heated and vertical walls are linearly heated, whereas the top wall is well insulated. In the nonuniformly heated bottom wall maximum temperature TH attains at the center of the bottom wall. The sidewalls are linearly heated, maintained at minimum temperature Tc at top edges of the sidewalls and at temperature Th at the bottom edges of the sidewalls, i.e., Tc≤Th≤TH. Nonlinear coupled PDEs governing the flow have been solved by the penalty finite element method with biquadratic rectangular elements. Numerical results are obtained for various values of Prandtl number (Pr)(0.01≤Pr≤10) and temperature difference aspect ratio A=[(Th−Tc)∕(TH−Tc)](0≤A≤1) for higher Raleigh number Ra=105. Results are presented in the form of streamlines, isotherm contours, local Nusselt number, and the average Nusselt number as a function of temperature difference aspect ratio A. The overall heat transfer process is shown to be tuned efficiently with suitable selection of A.
International journal of heat …, 2007
International Journal of Heat and Mass Transfer, 2007
In this paper natural convection flows in a square cavity filled with a porous matrix has been in... more In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 10 3 6 Ra 6 10 6 , Darcy number Da, 10 À5 6 Da 6 10 À3 , and Prandtl number Pr, 0.2 6 Pr 6 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.
Purpose-The purpose of this paper is to study the effect of magnetic field on natural convection ... more Purpose-The purpose of this paper is to study the effect of magnetic field on natural convection in an enclosure with uniformly or linearly heated adjacent walls and especially its effect on the local and average Nusselt numbers. Design/methodology/approach-The problem is formulated and solved using the finite element method. Accuracy of the method is validated by comparisons with previously published work. Findings-It was found that the presence of a magnetic filed causes significant effects on the local and average Nusselt numbers on all considered walls. Originality/value-Although the problem is not very original it is important in that many applications have heating on adjacent walls.
Purpose – The purpose of this paper is to optimize the heat transfer rate in square cavity by att... more Purpose – The purpose of this paper is to optimize the heat transfer rate in square cavity by attaching fin at the bottom wall. Design/methodology/approach – The problem is formulated and solved using finite element method. Accuracy of the method is validated by comparisons with previously published work. Findings – It was found that attaching fin reduces heat transfer rate in the cavity. Originality/value – Although the problem is not very original it is important in that many applications have heating on adjacent walls.
International Journal of Heat and Mass Transfer, 2007
Special Topics & Reviews in Porous Media - An International Journal
Special Topics and Reviews in Porous Media
Special Topics & Reviews in Porous Media - An International Journal, 2013
Transport in Porous Media, 2011
ABSTRACT Natural convection flow in a differentially heated square enclosure filled with porous m... more ABSTRACT Natural convection flow in a differentially heated square enclosure filled with porous matrix with a solid adiabatic thin fin attached at the hot left wall is studied numerically. The Brinkman–Forchheimer-extended Darcy model is used to solve the momentum equations, in the porous medium. The numerical investigation is done through streamlines, isotherms, and heat transfer rates. A parametric study is carried out using the following parameters: Darcy number (Da) from 10−4 to 10−2, dimensionless thin fin lengths (L p) 0.3, 0.5, and 0.7, dimensionless positions (S p) 0.25, 0.5, and 0.75 with Prandtl numbers (Pr) 0.7 and 100 for Ra =106. For Da =10−3 and Pr =0.7, it is observed that there is a counter clock-wise secondary flow formation around the tip of the fin for S p = 0.5 for all lengths of L p. Moreover when Da =10−2 the secondary circulation behavior has been observed for S p = 0.25 and 0.75 and there is another circulation between the top wall and the fin that is separated from the primary circulation. However, these secondary circulations features are not observed for Pr=100. It is also found that the average Nusselt number decreases as the length of the fin increases for all locations. However, the rate of decrease of average Nusselt number becomes slower as the location of fin moves from the bottom wall to the top wall. The overall heat transfer rate can be controlled with a suitable selection of the fin location and length. KeywordsNatural convection–Non-Darcy flow–Thin fin–Square cavity
Journal of Porous Media, 2011
ABSTRACT A finite element analysis has been carried out to study the influence of a sinusoidally ... more ABSTRACT A finite element analysis has been carried out to study the influence of a sinusoidally heated bottom wall and linearly heated side walls on natural convection flows in a square cavity filled with a porous medium when the top wall is well insulated. The Darcy-Forchheimer model without the inertia term is used to predict the temperature and flow circulations in the porous medium. In the present study, for a non-uniformly heated bottom wall, the maximum temperature TH was attained at the center of the bottom wall. The side walls were linearly heated, maintaining minimum temperature Tc at the top edges of the side walls and temperature Th at the bottom edges of the side walls; i.e, Tc ≤ Th ≤ TH. The penalty finite-element method with bi-quadratic rectangular elements was used to solve the non-dimensional governing equations for coupled thermal and flow fields. Numerical results are presented for a wide range of parameters of temperature difference aspect ratio A = (Th − Tc)/(TH − Tc)(0 ≤ A ≤ 1) and Darcy number Da (10−5 ≤ Da ≤ 10−3) for higher Rayleigh number Ra = 106 and Prandtl number Pr = 0.7 in terms of stream functions and isotherm contours. Furthermore, the effect of the temperature difference aspect ratio on local and average Nusselt numbers has been analyzed.
Journal of Porous Media, 2011
Journal of Heat Transfer, 2007
The present numerical investigation deals with steady natural convection flow in a closed square ... more The present numerical investigation deals with steady natural convection flow in a closed square cavity when the bottom wall is sinusoidal heated and vertical walls are linearly heated, whereas the top wall is well insulated. In the nonuniformly heated bottom wall maximum temperature TH attains at the center of the bottom wall. The sidewalls are linearly heated, maintained at minimum temperature Tc at top edges of the sidewalls and at temperature Th at the bottom edges of the sidewalls, i.e., Tc≤Th≤TH. Nonlinear coupled PDEs governing the flow have been solved by the penalty finite element method with biquadratic rectangular elements. Numerical results are obtained for various values of Prandtl number (Pr)(0.01≤Pr≤10) and temperature difference aspect ratio A=[(Th−Tc)∕(TH−Tc)](0≤A≤1) for higher Raleigh number Ra=105. Results are presented in the form of streamlines, isotherm contours, local Nusselt number, and the average Nusselt number as a function of temperature difference aspect...
International Journal of Heat and Mass Transfer, 2007
Journal of Heat Transfer-transactions of The Asme, 2007
The present numerical investigation deals with steady natural convection flow in a closed square ... more The present numerical investigation deals with steady natural convection flow in a closed square cavity when the bottom wall is sinusoidal heated and vertical walls are linearly heated, whereas the top wall is well insulated. In the nonuniformly heated bottom wall maximum temperature TH attains at the center of the bottom wall. The sidewalls are linearly heated, maintained at minimum temperature Tc at top edges of the sidewalls and at temperature Th at the bottom edges of the sidewalls, i.e., Tc≤Th≤TH. Nonlinear coupled PDEs governing the flow have been solved by the penalty finite element method with biquadratic rectangular elements. Numerical results are obtained for various values of Prandtl number (Pr)(0.01≤Pr≤10) and temperature difference aspect ratio A=[(Th−Tc)∕(TH−Tc)](0≤A≤1) for higher Raleigh number Ra=105. Results are presented in the form of streamlines, isotherm contours, local Nusselt number, and the average Nusselt number as a function of temperature difference aspect ratio A. The overall heat transfer process is shown to be tuned efficiently with suitable selection of A.
International journal of heat …, 2007
International Journal of Heat and Mass Transfer, 2007
In this paper natural convection flows in a square cavity filled with a porous matrix has been in... more In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-quadratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 10 3 6 Ra 6 10 6 , Darcy number Da, 10 À5 6 Da 6 10 À3 , and Prandtl number Pr, 0.2 6 Pr 6 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.
Purpose-The purpose of this paper is to study the effect of magnetic field on natural convection ... more Purpose-The purpose of this paper is to study the effect of magnetic field on natural convection in an enclosure with uniformly or linearly heated adjacent walls and especially its effect on the local and average Nusselt numbers. Design/methodology/approach-The problem is formulated and solved using the finite element method. Accuracy of the method is validated by comparisons with previously published work. Findings-It was found that the presence of a magnetic filed causes significant effects on the local and average Nusselt numbers on all considered walls. Originality/value-Although the problem is not very original it is important in that many applications have heating on adjacent walls.
Purpose – The purpose of this paper is to optimize the heat transfer rate in square cavity by att... more Purpose – The purpose of this paper is to optimize the heat transfer rate in square cavity by attaching fin at the bottom wall. Design/methodology/approach – The problem is formulated and solved using finite element method. Accuracy of the method is validated by comparisons with previously published work. Findings – It was found that attaching fin reduces heat transfer rate in the cavity. Originality/value – Although the problem is not very original it is important in that many applications have heating on adjacent walls.