scholarly journals Effect of constant suction and injection on MHD three dimensional couette flow and heat transfer through a porous medium

2010 ◽  
Vol 6 (1) ◽  
pp. 41-51 ◽  
Author(s):  
S. S. Das
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Temperature Field ◽  
Skin Friction ◽  
Couette Flow ◽  
Three Dimensional ◽  
Injection Parameter ◽  
Constant Suction ◽  
Permeability Parameter

The objective of this paper is to analyzethe effect of constant suction and sinusoidal injection on three dimensional couette flow of a viscous incompressible electrically conducting fluid through a porous medium between two infinite horizontal parallel porous flat plates in presence of a transverse magnetic field. The stationary plate and the plate in uniform motion are, respectively, subjected to a transverse sinusoidal injection and uniform suction of the fluid .The flow becomes three dimensional due to this type of injection velocity distribution. The governing equations of the flow field are solved by using series expansion method and the expressions for the velocity field, the temperature field, skin friction and the rate of heat transfer in terms of Nusselt number are obtained. The effects of the flow parameters on the velocity field, temperature field, skin friction and the Nusselt number have been studied and analyzed with the help of figures and tables. It is observed that a growing magnetic parameter (M) retards the main velocity (u) and accelerates the cross flow velocity (w1) of the flow field and a growing permeability parameter (Kp) or suction / injection parameter (Re) reverses the effect. Both Prandtl number (Pr) and the suction / injection parameter have retarding effect on the temperature field. Further, a growing suction / injection parameter diminishes both the components of skin friction at the wall while the permeability parameter enhances the x-component and reduces the z-component of the skin friction at the wall. The effect of increasing permeability parameter is to enhance the magnitude of rate of heat transfer at the wall while a growing Prandtl number (Pr) reverses the effect.Keywords: MHD; couette flow; heat transfer; suction; sinusoidal injection; porous mediumDOI: 10.3329/jname.v5i2.2570Journal of Naval Architecture and Marine Engineering 6(1)(2009) 41-51 

scholarly journals Magnetohydrodynamic Three Dimensional Flow and Heat Transfer Past a Vertical Porous Plate Through a Porous Medium with Periodic Suction

1970 ◽  
Vol 46 (4) ◽  
pp. 465-474 ◽  
Author(s):  
SS Das ◽  
M Mitra ◽  
PK Mishra
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Flow Field ◽  
Prandtl Number ◽  
Skin Friction ◽  
Magnetic Parameter ◽  
Three Dimensional ◽  
Three Dimensional Flow ◽  
Suction Parameter ◽  
Permeability Parameter

This paper analyzes the effect of magnetic field and the permeability of the medium on the three dimensional flow of a viscous incompressible electrically conducting fluid through a porous medium bounded by an infinite vertical porous plate in presence of periodic suction and a transverse magnetic field. The governing equations for the velocity and temperature of the flow field are solved employing perturbation technique and the effects of the pertinent parameters such as magnetic parameter (M), suction parameter (α), permeability parameter (Kp), Reynolds number (Re) and Prandtl number (Pr) on the velocity field, temperature field, skin friction and the rate of heat transfer are discussed with the help of figures and tables. It is observed that both magnetic parameter and the permeability parameter have accelerating effect on the velocity of the flow field. The effect of growing Prandtl number/suction parameter/ Reynolds number is to enhance the temperature of the flow field at all points while a growing magnetic parameter has retarding effect on the temperature field. The magnetic parameter increases the x-component of skin friction and reduces the magnitude of z-component of skin friction at the wall while the permeability parameter shows the reverse effect on both the components of skin friction. The rate of heat transfer at the wall grows as we increase the magnetic parameter or suction parameter or Prandtl number in the flow field and the effect reverses with the increase of the permeability parameter. Key words: MHD; Three dimensional flow; Heat transfer; Vertical plate; Porous medium; Periodic suction   DOI: http://dx.doi.org/10.3329/bjsir.v46i4.9593 BJSIR 2011; 46(4): 465-474

scholarly journals Hydromagnetic Three Dimensional Couette Flow and Heat Transfer

1970 ◽  
Vol 5 (1) ◽  
pp. 1-10 ◽  
Author(s):  
SS Das ◽  
M Mohanty ◽  
JP Panda ◽  
SK Sahoo
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Temperature Field ◽  
Flow Field ◽  
Skin Friction ◽  
Couette Flow ◽  
Three Dimensional ◽  
Flat Plates ◽  
Suction Parameter ◽  
Retarding Effect

This paper is concerned with the theoretical analysis of three dimensional couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel porous flat plates in presence of a transverse magnetic field. The stationary plate and the plate in uniform motion are, respectively, subjected to a transverse sinusoidal injection and uniform suction of the fluid. The governing equations of the flow field are solved by using series expansion method and the expressions for the velocity field, the temperature field, skin friction and heat flux in terms of Nusselt number are obtained. The effects of the flow parameters on the velocity, temperature, skin friction and heat flux have been studied and analyzed with the help of figures and tables. It is observed that the magnetic parameter (M) has a retarding effect on the main velocity (u) and an accelerating effect on the cross velocity (w1) of the flow field. The suction parameter (Re) has a retarding effect on the main velocity as well as on the temperature field. The Prandtl number (Pr) reduces the temperature of the flow field and increases the rate of heat transfer at the wall (Nu). The effect of suction parameter is to reduce the x-component of skin friction and to enhance the magnitude of z-component of the skin friction at the wall. This problem is very much significant in view of its several engineering, geophysical and industrial applications.Keywords: Hydromagnetic, couette flow, heat transfer, three dimensions doi:10.3329/jname.v5i1.1784 Journal of Naval Architecture and Marine Engineering Vol. 5, No. 1 (June, 2008) 1-10.

Thermal Viscous Dissipative Couette Flow in a Porous Medium Filled Microchannel

2016 ◽  
Author(s):  
Farrukh Mirza Baig ◽  
G. M. Chen ◽  
B. K. Lim
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Couette Flow ◽  
Viscous Dissipation ◽  
Saturated Porous Medium ◽  
Local Thermal Equilibrium ◽  
Uniform Heat Flux ◽  
Brinkman Number ◽  
Essential Information

The increasing demand for high-performance electronic devices and surge in power density accentuates the need for heat transfer enhancement. In this study, a thermal viscous dissipative Coeutte flow in a micochannel filled with fluid saturated porous medium is looked into. The study explores the fluid flow and heat transfer phenomenon for a Coeutte flow in a microchannel as well as to establish the relationship between the heat convection coefficient and viscous dissipation. The moving boundary in this problem is subjected to uniform heat flux while the fixed plate is assumed adiabatic. In order to simplify the problem, we consider a fully developed flow and assume local thermal equilibrium in the analysis. An analytical Nusselt number expression is developed in terms of Brinkman number as a result of this study, thus providing essential information to predict accurately the thermal performance of a microchannel. The results obtained without viscous dissipation are in close agreement with published results whereas viscous dissipation has a more significant effect on Nusselt number for a porous medium with higher porous medium shape factor. The Nusselt number versus Brinkman number plot shows an asymptotic Brinkman number, indicating a change in sign of the temperature difference between the bulk mean temperature and the wall temperature. The effects of Reynolds number on the two dimensional temperature profile for a Couette flow in a microchannel are investigated. The temperature distribution of a microscale duct particularly along the axial direction is a strong function of viscous dissipation. The significance of viscous dissipation to a microscale duct as compared to a conventional scale duct is also discussed and compared in this study.

scholarly journals Heat transfer effects in a Couette flow through a composite channel partly filled by a porous medium with a transverse sinusoidal injection velocity and heat source

2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 175-186 ◽  
Author(s):  
Singh Chauhan ◽  
Vikas Kumar
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Heat Source ◽  
Couette Flow ◽  
Three Dimensional ◽  
Injection Velocity ◽  
Transfer Effects ◽  
Composite Channel ◽  
Flow Through ◽  
Heat Transfer Effects

This study theoretically analyzes the heat transfer effects in a three dimensional Couette flow through a composite parallel porous plate channel partly filled by a porous medium. The flow is three dimensional in the channel because of the application of a transverse sinusoidal injection velocity of a particular form at the lower stationary plate. The governing equations are solved using a perturbation series expansion method. The effects of various flow parameters such as, Prandtl number (Pr), suction/injection parameter (?), permeability of the porous medium (K), heat source parameter (S), and viscosity ratio parameter (?1), are investigated on temperature distribution in the composite channel and rate of heat transfer at the upper moving plate and at the fluid-porous medium interface, and discussed graphically.

scholarly journals Computation of Steady Free Convective Boundary Layer Viscous Fluid Flow and Heat Transfer towards the Moving Flat subjected to Suction/Injection Effects

CFD letters ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 16-24
Author(s):  
M. Ferdows ◽  
MD. Shamshuddin ◽  
Khairy Zaimi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Nusselt Number ◽  
Fluid Flow ◽  
Differential Equations ◽  
Skin Friction ◽  
Convective Boundary ◽  
Viscous Fluid Flow ◽  
Flow And Heat Transfer ◽  
Injection Parameter

The steady free convective boundary layer viscous fluid flow and heat transfer towards the moving flat plate is investigated. It is important to study the fluid flow and heat transfer problems in the presence of suction and injection effects due to an extensive variety of applications in engineering and industry. Thus, the main objective of the present study is to analyse the impacts of the suction and injection parameter on the velocity and temperature of the fluid as well as the skin friction and the Nusselt number coefficients. The problem has coupled partial differential equations which are converted into ordinary differential equations by employing similarity transformation and adopting of the strong wall suction. The ordinary differential equations thus obtain are handled numerically by utilizing Maple software simulation. The main findings concerning the behaviours of velocity and temperature against various values of the emerging physical parameter such as suction/injection are presented clearly in this numerical examination via graphical illustrations whose physical explanation are discussed thoroughly based on a strong theoretical basis. Furthermore, skin friction and Nusselt number results are studied at different values of pressure gradient. The detail geometry reveals that the velocity and temperature of the fluid decreases with increase of suction/injection parameter. Both skin friction coefficient and Nusselt number decreases with an increase of suction/injection parameter.

Early Initiation of Natural Convection in an Open Porous Layer Due to the Presence of Solid Conductive Inclusions

1995 ◽  
Vol 117 (3) ◽  
pp. 733-739 ◽  
Author(s):  
A. Delmas ◽  
E. Arquis
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Temperature Field ◽  
Natural Convection ◽  
Stream Function ◽  
Composite Medium ◽  
Low Density ◽  
Two Dimensional ◽  
Insulating Material

The effects of solid conductive blocks on the initiation of convection in a porous medium are reported in this paper. A two-dimensional convective code was used to determine the temperature field, the structure of the motion, and the global heat transfer through a composite medium consisting of permeable and impermeable areas. Influence of the size of impermeable regions on convection as well as the effect of the distance between these solid blocks was studied in terms of Nusselt number and maximum of the stream function. The predicted heat transfer in this type of composite medium, obtained with the code, was compared with experimental results where the porous medium is a low-density insulating material in which some wood joists are included. This configuration corresponds to the layer of insulation on the floor of a residential attic.

Analytical Modeling of Temperature Distribution in Interposer-Based Microelectronic Systems

2013 ◽  
Author(s):  
Leila Choobineh ◽  
Dereje Agonafer ◽  
Ankur Jain
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Temperature Field ◽  
Temperature Distribution ◽  
Analytical Modeling ◽  
Three Dimensional ◽  
Heat Transfer Process ◽  
Thermal Design ◽  
Research Attention ◽  
On Chip

Heterogeneous integration in microelectronic systems using interposer technology has attracted significant research attention in the past few years. Interposer technology is based on stacking of several heterogeneous chips on a common carrier substrate, also referred to as the interposer. Compared to other technologies such as System-on-Chip (SoC) or System-in-Package (SiP), interposer-based integration offers several technological advantages. However, the thermal management of an interposer-based system is not well understood. The presence of multiple heat sources in various die and the interposer itself needs to be accounted for in any effective thermal model. While a finite-element based simulation may provide a reasonable temperature prediction tool, an analytical solution is highly desirable for understanding the fundamentals of the heat transfer process in interposers. In this paper, we describe our recent work on analytical modeling of heat transfer in interposer-based microelectronic systems. The basic governing energy conservation equations are solved to derive analytical expressions for the temperature distribution in an interposer-based microelectronic system. These solutions are combined with an iterative approach to provide the three-dimensional temperature field in an interposer. Results are in excellent agreement with finite-element solutions. The analytical model is utilized to study the effect of various parameters on the temperature field in an interposer system. Results from this work may be helpful in the thermal design of microelectronic systems containing interposers.

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