Combined Forced and Free Convection Laminar Flow over a Vertical Plate

1973 ◽  
Vol 187 (1) ◽  
pp. 191-197
Author(s):  
A. Brown
Keyword(s):  
Laminar Flow ◽  
Free Convection ◽  
Integral Method ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Approximate Integral ◽  
Forced Convection Flow ◽  
Approximate Integral Method ◽  
Vertical Flat Plate

The approximate integral method of von Kármán is adapted to analyse combined forced and free convection laminar flow over a vertical flat plate at a constant temperature. This approach produces relatively simple expressions relating velocity and temperature profiles, skin friction and heat transfer to Pr and Gr/Re2 for the situation where forced convection flow is dominant over free convection. The results of the analysis compare favourably with more exact theoretical treatments and with experiment.

Combined Forced and Free Convection Laminar Flow over a Vertical Plate

1973 ◽  
Vol 187 (1) ◽  
pp. 191-197 ◽  
Author(s):  
A. Brown
Keyword(s):  
Laminar Flow ◽  
Free Convection ◽  
Integral Method ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Approximate Integral ◽  
Forced Convection Flow ◽  
Approximate Integral Method ◽  
Vertical Flat Plate

The approximate integral method of von Kármán is adapted to analyse combined forced and free convection laminar flow over a vertical flat plate at a constant temperature. This approach produces relatively simple expressions relating velocity and temperature profiles, skin friction and heat transfer to Pr and Gr/Re2 for the situation where forced convection flow is dominant over free convection. The results of the analysis compare favourably with more exact theoretical treatments and with experiment.

scholarly journals Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature

2003 ◽  
Vol 2003 (2) ◽  
pp. 65-86 ◽  
Author(s):  
M. A. Abd El-Naby ◽  
Elsayed M. E. Elbarbary ◽  
Nader Y. Abdelazem
Keyword(s):  
Finite Difference ◽  
Free Convection ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Radiation Parameter ◽  
Free Convection Flow ◽  
Variable Surface ◽  
Variable Surface Temperature

An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases.

scholarly journals MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

2010 ◽  
Vol 6 (2) ◽  
pp. 72-83 ◽  
Author(s):  
Rehena Nasrin ◽  
Md. Abdul Alim
Keyword(s):  
Thermal Conductivity ◽  
Boundary Layer ◽  
Free Convection ◽  
Joule Heating ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Free Convection Flow ◽  
Variation Parameter ◽  
Viscosity Variation ◽  
Vertical Flat Plate

In this present work the effects of temperature dependent viscosity and thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a semi-infinite vertical flat plate have been analyzed. The governing boundary layer equations with associated boundary conditions for this phenomenon are transformed to non-dimensional form using the appropriate variables. By the help of the implicit finite difference method with Keller–box scheme, the resulting non-linear system of partial differential equation is then solved numerically. The purpose of this paper is to study the skin friction coefficient, the surface temperature, the velocity and the temperature profiles over the whole boundary layer for different values of the Prandtl number Pr, the magnetic parameter M, the thermal conductivity variation parameter, the viscosity variation parameter and the Joule heating parameter J. The results indicate that the flow pattern, temperature field and rate of heat transfer are significantly dependent on the above mentioned parameters. The local skin friction co-efficient and the surface temperature profiles for different values of viscosity variation parameter are compared with previously published works and are found to be in good agreement.Keywords: Viscosity; thermal conductivity; Joule heating; MHD; conduction; free convection.DOI: 10.3329/jname.v6i2.4994

Combined Forced and Free-Convection Laminar Flow

1964 ◽  
Vol 86 (4) ◽  
pp. 501-507 ◽  
Author(s):  
A. A. Szewczyk
Keyword(s):  
Heat Transfer ◽  
Shear Stress ◽  
Laminar Flow ◽  
Free Convection ◽  
Flat Plate ◽  
Forced Convection ◽  
Temperature Profiles ◽  
Temperature Function ◽  
Buoyancy Forces ◽  
Vertical Flat Plate

Effects of buoyancy forces on a forced-convection laminar flow as well as the forced-convection effects on a purely free-convection laminar flow about a vertical flat plate are analyzed. Solutions are obtained by expanding the stream function and the temperature function into series in terms of the parameter Grx/Rex2 when approaching from the forced-convection side, whereas for the free-convection approach in terms of the parameter (Grx/Rex2)−1/2. Velocity and temperature profiles, shear stress, and heat transfer are given for various values of the governing parameters.

scholarly journals Dissipation Effect On A Free Convection Flow Past A Porous Vertical Plate

1970 ◽  
Vol 6 (1) ◽  
pp. 52-59
Author(s):  
Amena Ferdousi ◽  
MA Alim
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Numerical Study ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Box Scheme ◽  
Flow Through ◽  
Implicit Finite Difference ◽  
Boundary Equations

A Numerical study on the effect of dissipation on a steady free convection flow through a porous vertical plate is made. The relevant non-leaner boundary equations are made dimensionless using specific non-dimensional variables. The corresponding non-similar partial differential equations are solved using implicit finite difference method with Keller-Box scheme. The results are then presented graphically and discussed thereafter. Keywords: porous plate; viscous dissipation; natural convection. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9334 DIUJST 2011; 6(1): 52-59

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