scholarly journals Unsteady Oscillatory Flow and Heat Transfer in a Horizontal Composite Porous Medium Channel

2009 ◽  
Vol 14 (3) ◽  
pp. 397-415 ◽  
Author(s):  
J. C. Umavathi ◽  
A. J. Chamkha ◽  
A. Mateen ◽  
A. Al-Mudhaf
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Oscillatory Flow ◽  
Oscillation Amplitude ◽  
Temperature Fields ◽  
Thermal Conductivity Ratio ◽  
Physical Parameters ◽  
Conductivity Ratio ◽  
Medium Parameter ◽  
Flow And Heat Transfer

The problem of unsteady oscillatory flow and heat transfer in a horizontal composite porous medium is performed. The flow is modeled using the Darcy-Brinkman equation. The viscous and Darcian dissipation terms are also included in the energy equation. The partial differential equations governing the flow and heat transfer are solved analytically using two-term harmonic and non-harmonic functions in both regions of the channel. Effect of the physical parameters such as the porous medium parameter, ratio of viscosity, oscillation amplitude, conductivity ratio, Prandtl number and the Eckert number on the velocity and/or temperature fields are shown graphically. It is observed that both the velocity and temperature fields in the channel decrease as either of the porous medium parameter or the viscosity ratio increases while they increase with increases in the oscillation amplitude. Also, increasing the thermal conductivity ratio is found to suppress the temperature in both regions of the channel. The effects of the Prandtl and Eckert numbers are found to decrease the thermal state in the channel as well.

Natural Convection From a Vertical Plate Embedded in a Non-Darcy Bidisperse Porous Medium

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
F. O. Pătrulescu ◽  
T. Groşan ◽  
I. Pop
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Porous Medium ◽  
Thermal Capacity ◽  
Thermal Conductivity Ratio ◽  
Convection Boundary Layer ◽  
Nusselt Numbers ◽  
Flow And Heat Transfer ◽  
Layer Analysis ◽  
Layer Flow

Abstract This paper studies the steady, free convection boundary layer flow about a vertical, isothermal plate embedded in a non-Darcy bidisperse porous medium (BDPM). An appropriate mathematical model is proposed. The boundary layer analysis leads to a system of partial differential equations containing inertial, interphase momentum, thermal diffusivity ratio, thermal conductivity ratio, permeability ratio, modified thermal capacity, and convection parameters. These equations that govern the flow and heat transfer in the f-phase and the p-phase are solved numerically using an algorithm based on the bvp4c routine from matlab. The dependences of the dimensionless velocities and temperatures profiles, as well as of the Nusselt numbers on the governing parameters are investigated. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed in details.

scholarly journals MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Iftikhar Ahmad ◽  
Muhmmad Sajid ◽  
Wasim Awan ◽  
Muhammad Rafique ◽  
Wajid Aziz ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Transfer Problem ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Exponentially Stretching Sheet ◽  
Flow And Heat Transfer ◽  
Exponentially Stretching

Radiation effects on magnetohydrodynamic (MHD) boundary-layer flow and heat transfer characteristic through a porous medium due to an exponentially stretching sheet have been studied. Formulation of the problem is based upon the variable thermal conductivity. The heat transfer analysis is carried out for both prescribed surface temperature (PST) and prescribed heat flux (PHF) cases. The developed system of nonlinear coupled partial differential equations is transformed to nonlinear coupled ordinary differential equations by using similarity transformations. The series solutions for the transformed of the transformed flow and heat transfer problem were constructed by homotopy analysis method (HAM). The obtained results are analyzed under the influence of various physical parameters.

Flow and Heat Transfer in Nanofluid Flow through a Cylinder Filled with Foam Porous Medium under Radial Injection

2018 ◽  
Vol 387 ◽  
pp. 166-181 ◽  
Author(s):  
Mukesh Kumar Sharma ◽  
Choudhary Manjeet ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Volume Fraction ◽  
Heat Convection ◽  
Viscous Drag ◽  
Physical Parameters ◽  
Cylindrical Shape ◽  
Flow And Heat Transfer ◽  
Radial Injection ◽  
Shape Of Nanoparticles

The Darcy flow and heat convection in nanofluid through a cylinder filled with a foam porous medium subject to local non-thermal equilibrium (LNTE) condition and uniform radial injection on the outer wall of the cylinder is studied. The momentum and two-energy equations are solved by differential transformation method (DTM) in the form of stream function using similarity variables. The effect on flow and heat transfer of different types of nanofluids and involved physical parameters Prandtl number Pr, Reylond number Re, Darcy number Da, Biot number Bi, Ratio of thermal conductivities Rk, porosity parameter ε, solid volume fraction parameter φ and shape of nanoparticles are analyzed through graphs. The viscous drag force and heat convection at the wall of the cylinder is calculated in terms of non-dimensional skin-friction coefficient and Nusselt number respectively. Decreasing the porosity of foam porous medium causes increment in magnitude of heat transfer rate for both the phases. Spherical shape of nanoparticles transfers more heat in comparison of cylindrical shape nanoparticles. Amongst the nanofluid H2O-Ag, H2O-Cu and H2O-Al2O3 the magnitude of heat transfer for fluid phase Nuf is lowest for nanofluid H2O-Al2O3.

scholarly journals The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
M. Subhas Abel ◽  
Jagadish V. Tawade ◽  
Jyoti N. Shinde
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Skin Friction Coefficient ◽  
Temperature Fields ◽  
Physical Parameters ◽  
Flow And Heat Transfer ◽  
Ucm Fluid

An analysis is performed to investigate the effect of MHD and thermal radiation on the two-dimensional steady flow of an incompressible, upper-convected Maxwells (UCM) fluid in presence of external magnetic field. The governing system of partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and is solved numerically by efficient shooting technique. Velocity and temperature fields have been computed and shown graphically for various values of physical parameters. For a Maxwell fluid, a thinning of the boundary layer and a drop in wall skin friction coefficient is predicted to occur for the higher elastic number which agrees with the results of Hayat et al. 2007 and Sadeghy et al. 2006. The objective of the present work is to investigate the effect of elastic parameterβ, magnetic parameterMn, Eckert numberEc, Radiation parameterN,and Prandtl numberPron flow and heat transfer charecteristics.

MHD Natural Convective Flow in an Isosceles Triangular Cavity Filled with Porous Medium due to Uniform/Non-Uniform Heated Side Walls

2015 ◽  
Vol 70 (11) ◽  
pp. 919-928 ◽  
Author(s):  
Tariq Javed ◽  
Muhammad Arshad Siddiqui ◽  
Ziafat Mehmood ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Bottom Wall ◽  
Physical Parameters ◽  
Uniform Heating ◽  
Weighted Residual Method ◽  
Flow And Heat Transfer ◽  
Side Walls ◽  
Limiting Case

AbstractIn this article, numerical simulations are carried out for fluid flow and heat transfer through natural convection in an isosceles triangular cavity under the effects of uniform magnetic field. The cavity is of cold bottom wall and uniformly/non-uniformly heated side walls and is filled with isotropic porous medium. The governing Navier Stoke's equations are subjected to Penalty finite element method to eliminate pressure term and Galerkin weighted residual method is applied to obtain the solution of the reduced equations for different ranges of the physical parameters. The results are verified as grid independent and comparison is made as a limiting case with the results available in literature, and it is shown that the developed code is highly accurate. Computations are presented in terms of streamlines, isotherms, local Nusselt number and average Nusselt number through graphs and tables. It is observed that, for the case of uniform heating side walls, strength of circulation of streamlines gets increased when Rayleigh number is increased above critical value, but increase in Hartmann number decreases strength of streamlines circulations. For non-uniform heating case, it is noticed that heat transfer rate is maximum at corners of bottom wall.

Flow and heat transfer of a couple-stress fluid sandwiched between viscous fluid layers

2005 ◽  
Vol 83 (7) ◽  
pp. 705-720 ◽  
Author(s):  
J C Umavathi ◽  
A J Chamkha ◽  
M H Manjula ◽  
A Al-Mudhaf
Keyword(s):  
Heat Transfer ◽  
Couple Stress ◽  
Temperature Fields ◽  
Couple Stress Fluid ◽  
Physical Parameters ◽  
Linear Ordinary Differential Equations ◽  
Closed Form Solutions ◽  
Stress Parameter ◽  
Flow And Heat Transfer ◽  
Fluid Layers

The problem of steady laminar fully developed flow and heat transfer in a horizontal channel consisting of a couple-stress fluid sandwiched between two clear viscous fluids is analyzed analytically. The fluids in all regions are assumed to be incompressible, immiscible, and the transport properties of the fluids in all regions are assumed to be constant. Under these assumptions, the resulting governing equations constitute a set of coupled linear ordinary differential equations that is solved analytically. The closed form solutions obtained for the velocity and temperature fields in the channel are evaluated numerically for various parametric conditions. These results are illustrated graphically to illustrate the effects of the physical parameters governing the flow such as the viscosity ratio, conductivity ratio, couple-stress parameter, Eckert number, and the Prandtl number on the velocity and temperature profiles. In addition, results for the rate of heat transfer are computed for different values of the physical parameters and presented in tabular form. It is found that the effect of the couple stress parameter is to promote the motion of the fluid.PACS Nos.: 44.15.+a

scholarly journals Thermodynamical Analysis of the Flow and Heat Transfer over a Static and a Moving Wedge

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Adnan Saeed Butt ◽  
Asif Ali
Keyword(s):  
Heat Transfer ◽  
Entropy Generation ◽  
Temperature Fields ◽  
Entropy Production Rate ◽  
Physical Parameters ◽  
Bejan Number ◽  
Entropy Generation Number ◽  
Flow And Heat Transfer ◽  
Generation Number ◽  
Moving Wedge

The first and second law characteristics of fluid flow and heat transfer over a static and a moving wedge are investigated. With the help of suitable similarity transformations, the governing boundary layer equations for the velocity and temperature fields are transformed into ordinary differential equations and are solved numerically. The velocity and the temperature profiles are obtained for various parameters and are utilized to compute the entropy generation number Ns and the Bejan number Be. The effects of various physical parameters on the entropy generation number and the Bejan number are depicted through graphs and are discussed qualitatively. It is observed that the entropy production rate is less in case of wedge moving in the opposite direction to flow as compared to static wedge.

scholarly journals Porous medium magnetohydrodynamic flow and heat transfer of two immiscible fluids

2016 ◽  
Vol 20 (suppl. 5) ◽  
pp. 1405-1417 ◽  
Author(s):  
Jelena Petrovic ◽  
Zivojin Stamenkovic ◽  
Milos Kocic ◽  
Milica Nikodijevic
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Hartmann Number ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Load Factor ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Flow Through

The magnetohydordynamic flow and heat transfer of two viscous incompressible fluids through porous medium has been investigated in the paper. Fluids flow through porous medium between two parallel fixed isothermal plates in the presence of an inclined magnetic and perpendicular electric field. Fluids are electrically conducting, while the channel plates are insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained. Solutions with appropriate boundary conditions for velocity and temperature fields have been obtained. The analytical results for various values of the Hartmann number, load factor, viscosity and porosity parameter have been presented graphically to show their effect on the flow and heat transfer characteristics.

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