scholarly journals Numerical Study of Variable Viscosity and Thermal Conductivity on Natural Convection Flow along a Vertical Flat Plate with Pressure Work and Heat Conduction

2021 ◽  
pp. 42-58
Author(s):  
Sirazum Munira ◽  
Sree Pradip Kumer Sarker ◽  
Md. M. Alam ◽  
Minhazul Islam
Keyword(s):  
Thermal Conductivity ◽  
Flat Plate ◽  
Heat Generation ◽  
Variable Viscosity ◽  
Numerical Study ◽  
Numerical Data ◽  
Convection Flow ◽  
Governing Equations ◽  
Local Skin ◽  
Vertical Flat Plate

A heated vertical flat plate in the presence of heat generation is an extremely significant technological issue, and many academics have studied this sort of problem. A vertical plate submerged in a fluid with varying viscosity will be used in this research to investigate the effects of variable viscosity and thermal conductivity on heat generation free convection flow. The boundary layer equations in this section are two-dimensional, laminar, and unstable. The fundamental governing equations are turned into non-dimensional governing equations by using the necessary variables. Using the Crank-Nicolson implicit finite-difference technique, these equations are solved numerically. Viscosity and thermal conductivity are temperature-dependent properties of a viscous, incompressible fluid. Variations in the study's numerous parameters will reveal and compare the velocities, temperatures, local skin friction, and local heat transfer co-efficient profiles. There will be a comparison between the current numerical data and previously reported data findings. Besides that, we'll compare our current work numbers to those of past released publications. Graphs and tables will be used to display the findings for a variety of key physical characteristics.

scholarly journals Effect of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate

2021 ◽  
pp. 58-71
Author(s):  
Sree Pradip Kumer Sarker ◽  
Md. M. Alam
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Flat Plate ◽  
Variable Viscosity ◽  
Convection Flow ◽  
Physical Parameters ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Local Skin ◽  
Vertical Flat Plate

Free convection flow around a heated vertical flat plate in the presence of a magnetic field is very important from the technical standpoint, and several researchers have studied this issue. The effects of variable viscosity and thermal conductivity on Magneto-Hydrodynamics (MHD) free convection flow over an isothermal vertical plate immersed in a fluid with heat conduction will be studied in this study. The two-dimensional, laminar, and unsteady boundary layer equations are considered in this paper. Using relevant variables, simple governing equations are transformed into non-dimensional governing equations. The implicit finite difference scheme, also known as the Crank-Nicolson scheme, is used to solve these equations numerically. This research looks at viscous incompressible fluids with temperature-dependent viscosity and thermal conductivity. The effect of various parameters on velocity, temperature, local skin friction, and local heat transfer coefficient profiles will be shown in this study, and the results will be compared to those of other researchers. The current numerical results will be compared to the results of previously published works. Figures from the current thesis will be compared to those from previously published works. The outcomes result will be shown in graphs for various values of relevant physical parameters.

scholarly journals The Effects Of Radiation And Heat Generation On Magnetohydrodynamic(MHD) Natural Convection Flow Along A Vertical Flat Plate In Presence Of Viscous Dissipation

1970 ◽  
Vol 6 (1) ◽  
pp. 20-29
Author(s):  
Mohammad Mokaddes Ali ◽  
Rowsanara Akhter ◽  
NHM A Azim ◽  
MA Maleque
Keyword(s):  
Flat Plate ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Convection Flow ◽  
Governing Equations ◽  
Natural Convection Flow ◽  
Dissipation Parameter ◽  
Effects Of Radiation ◽  
Generation Parameter ◽  
Vertical Flat Plate

This article investigates the effects of radiation and heat generation on magnetohydrodynamic( MHD) natural convection flow of an incompressible viscous electrically conducting fluid along a vertically placed flat plate in presence of viscous dissipation and heat conduction. Appropriate transformations were employed to transform governing equations of this flow into dimensionless form and then solved using the implicit finite difference method with Keller box scheme. The resulting numerical solutions of transformed governing equations are presented graphically in terms of velocity profile, temperature distribution, skin friction coefficient and surface temperature and the effects of magnetic parameter (M), radiation parameter (R), Prandtl number (Pr) and heat generation parameter (Q) and viscous dissipation parameter (N) on the flow have been studied with the help of graphs. Keywords: Radiation; Heat Generation Parameter; Viscous Dissipation Parameter; MHD; Finite Difference Method; Vertical Flat Plate. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9330 DIUJST 2011; 6(1): 20-29

Radiation effects on natural convection flow over an inclined flat plate with temperature-dependent viscosity

2010 ◽  
Vol 225 (2) ◽  
pp. 407-419 ◽  
Author(s):  
S Siddiqa ◽  
S Asghar ◽  
M A Hossain
Keyword(s):  
Natural Convection ◽  
Flat Plate ◽  
Variable Viscosity ◽  
Solution Technique ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Natural Convection Flow ◽  
Temperature Dependent Viscosity ◽  
Local Skin ◽  
Dependent Viscosity

The effect of radiation on laminar natural convection flow of a viscous incompressible fluid over a semi-infinite flat plate inclined at a small angle to the horizontal with strong temperature-dependent viscosity has been investigated. The Rosseland approximation is considered while modelling the problem. The non-similar equations are obtained for upstream, downstream, and entire regimes, which are then solved numerically. For constant viscosity, the series solution technique has been employed in order to obtain solutions that are valid near the leading edge as well as in the downstream regime. Later, solutions of the governing equations have been obtained using the finite difference method along with the Keller box technique, taking into consideration variable viscosity. Effects of physical parameters like conduction—radiation para-meter Rd, surface temperature parameter θw, variable viscosity parameter λ, and Prandtl number Pr are shown on the local skin-friction coefficient Cf and the local Nusselt number, Nu. Effects of the parameters on the streamlines are also shown around the point of separation that occurs along the negatively inclined surface.

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