Mixed Convectionof Acomposite Porous Medium Ina Vertical Channel With Asymmetric Wall Heating Conditions

Kumar, J. Prathap; Umavathi, J. C.; Biradar, Basavaraj M.

doi:10.1615/jpormedia.v13.i3.70

Cited by 13 publications

(8 citation statements)

References 9 publications

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“…Figures 4a and 4b also reveals that the solutions obtained by PM and DTM agree very well for small values of ε and the difference is large as ε increases. The effect of Λ and ε on the flow is the similar result obtained by Prathap Kumar et al [17] for isothermal boundary conditions for composite porous medium and by Umavathi and Santhosh [38] for one fluid model. respectively for equal Biot numbers.…”

Section: Resultssupporting

confidence: 83%

“…q q T T = , respectively. Equation (17) implies that A can be either positive or negative. If 0 A < , then 0 i U , Re , and Λ are negative, i.e.…”

Section: Fig 1: Physical Configurationmentioning

confidence: 99%

“…Umavathi et al [14][15][16] studied the flow and heat transfer in a composite channel. Recently, Prathap Kumar et al [17,18] studied fully developed mixed convection flow in a vertical channel for composite porous medium for symmetric and asymmetric wall heating conditions.…”

Section: Introductionmentioning

confidence: 99%

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Free and Forced Convective Flow in a Vertical Channel Filled with Composite Porous Medium Using Robin Boundary Conditions

Kumar¹

2014

AJAM

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Mixed convection flow and heat transfer in a vertical channel filled with composite porous medium using Robin boundary conditions is analyzed. The flow is modeled using the Darcy-Lapwood-Brinkman model. The viscous and Darcy dissipation terms are included in energy equation. The plate exchanges heat with an external fluid. Both the conditions of equal and different reference temperature of the external fluid are considered. The governing equations are coupled and non-linear because of inclusion of dissipation terms and buoyancy forces. The equations are solved using perturbation method valid for small values of perturbation parameter. However, the restriction on the perturbation parameter is relaxed by finding the solutions of governing equations by using Differential Transform Method. The effects of various parameters such as mixed convection parameter, porous parameter, viscosity ratio, width ratio, conductivity ratio and the Biot numbers on the flow are discussed. The percentage of error between perturbation method and differential transformation method increases as the perturbation parameter increases for both equal and unequal Biot numbers.

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Section: Resultssupporting

confidence: 83%

“…q q T T = , respectively. Equation (17) implies that A can be either positive or negative. If 0 A < , then 0 i U , Re , and Λ are negative, i.e.…”

Section: Fig 1: Physical Configurationmentioning

confidence: 99%

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Free and Forced Convective Flow in a Vertical Channel Filled with Composite Porous Medium Using Robin Boundary Conditions

Kumar¹

2014

AJAM

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“…Aung and Worku, Barletta, and Umavathi et al worked on the mixed convection flow of fluid at symmetric wall conditions in vertical channels. Later, Prathap Kumar et al studied mixed convection flows in a vertical channel filled with immiscible fluids.…”

Section: Introductionmentioning

confidence: 99%

Soret effects on the mixed convection flow using Robin boundary conditions

Umavathi

Sheremet

Patil

2019

Heat Trans. Asian Res.

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An investigation has been undertaken as Soret andSchmidt outcomes on the mixed convection flow using Robin boundary conditions. The results use a vertical channel being kept at constant cold temperature and concentration at the left wall and hot temperature and concentration at the right wall. The exchange of heat is done by help of plates with a fluid. We consider the external fluid with equal and different temperatures.This physical problem is solved by using nondimensional parameters with the corresponding boundary conditions. To find analytical solution, the regular perturbation series method is used, and for finding the numerical solution, the well-known Runge-Kutta method with shooting technique is employed. Comparison of the current study is favorable with the previous published results. The obtained results depend on the governing parameters such as thermal Grashof number, solutal Grashof number, Biot numbers, symmetric and asymmetric wall temperatures, Schmidt number, Soret number, and Brinkman number. An influence of these parameters on the fields of velocity, temperature, and concentration is reported. Further, the numerical results for the Nusselt number, mean value of the velocity, dimensionless bulk temperature, skin friction, and molecular diffusion coefficient are tabulated for different parametric conditions and explained. For small value of Brinkman number, the obtained values agree with other published results for all considered cases. K E Y W O R D S mixed convection, Robin boundary conditions, Runge-Kutta method, Soret number | INTRODUCTIONThe induced buoyancy flows in ducts deserve wide attention in the engineering section owing to their usefulness in a huge number of thermally controlled devices such as the heat exchangers, electronics, solar collectors, and others. In the passive-or semipassive-controlled systems, purely free and mixed convection is done. Both the natural and forced convection heat transfer mechanisms take place in the heat transfer situations and that phenomenon is called mixed convection. The internal flow of fluid is either upward or downward in the vertical channels. The flow of mixed convection in vertically heated channels happens in various technical apparatus including internal cooling system by turbine rotor blade and cooling of the nuclear reactors and electronic components. Tao 1 worked on using the vertical channels flow of fully developed mixed convection at the wall temperature. Aung and Worku 2,3 studied the flow of fluid through the vertical channel by the theory of combined free and forced convention and they also assumed that temperature is asymmetric at the walls of the channel. Aung and Worku, 3 Barletta, 4 and Umavathi et al 5 worked on the mixed convection flow of fluid at symmetric wall conditions in vertical channels. Later, Prathap Kumar et al 6-9 studied mixed convection flows in a vertical channel filled with immiscible fluids.Recently, in the presence of chemical reaction, the coupled heat and mass transfer has many processes. Distribution of te...

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“…Singha [16] gave an analytical solution to the problem of magnetohydrodynamics-free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field. Malashetty et al [17][18][19], Umavathi et al [20], and Prathap et al [21] studied mixed convection in a vertical channel for one-and two-fluid models. Umavathi and Sridhar [22] studied the Hartmann two-fluid Poiseuille-Couette flow in an inclined channel.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of an electrically conducting fluid in a vertical channel with boundary conditions of the third kind

Umavathi

Chamkha

2014

Can. J. Phys.

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In this study, the effects of viscous and Ohmic dissipation in steady, laminar, mixed, convection heat transfer for an electrically conducting fluid flowing through a vertical channel is investigated in both aiding and opposing buoyancy situations. The plates exchange heat with an external fluid. Both conditions of equal and different reference temperatures of the external fluid are considered. First, the simpler cases of either negligible Brinkman number or negligible Grashof number are addressed with the help of analytical solutions. The combined effects of buoyancy forces and viscous dissipation are analyzed using a perturbation series method valid for small values of the perturbation parameter. To relax the conditions on the perturbation parameter, the governing equations are also evaluated numerically by a shooting technique that uses the classical explicit Runge–Kutta method of four slopes as an integration scheme and the Newton–Raphson method as a correction scheme. In the examined cases of velocity and temperature fields, the Nusselt numbers at both the walls and the average velocity are explored. It is found that the velocity profiles for an open circuit (E > 0 or E < 0) lie in between the short circuit (E = 0). The graphical results illustrating the effects of various parameters on the flow as well as the average velocity and Nusselt numbers are presented for open and short circuits. In the absence of electric field load parameter and Hartmann number, the results agree with Zanchini (Int. J. Heat Mass Transfer, 41, 3949 (1998)). Further, the analytical and numerical solutions agree very well for small values of the perturbation parameter.

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Mixed Convectionof Acomposite Porous Medium Ina Vertical Channel With Asymmetric Wall Heating Conditions

Cited by 13 publications

References 9 publications

Free and Forced Convective Flow in a Vertical Channel Filled with Composite Porous Medium Using Robin Boundary Conditions

Free and Forced Convective Flow in a Vertical Channel Filled with Composite Porous Medium Using Robin Boundary Conditions

Soret effects on the mixed convection flow using Robin boundary conditions

Mixed convection flow of an electrically conducting fluid in a vertical channel with boundary conditions of the third kind

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