A Unified Theory for Non-Darcy Free, Forced, and Mixed Convection Problems Associated With a Horizontal Line Heat Source in a Porous Medium

1994 ◽  
Vol 116 (2) ◽  
pp. 508-513 ◽  
Author(s):  
A. Nakayama
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Mixed Convection ◽  
Horizontal Line ◽  
Unified Theory ◽  
Line Heat Source

Mixed convection in a porous medium produced by a line heat source

1995 ◽  
Vol 18 (1) ◽  
pp. 1-13 ◽  
Author(s):  
I. Pop ◽  
D. B. Ingham ◽  
I. Miskin
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Mixed Convection ◽  
Line Heat Source

scholarly journals Mixed Convection Flow over an Unsteady Stretching Surface in a Porous Medium with Heat Source

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Syed Muhammad Imran ◽  
Saleem Asghar ◽  
Muhammad Mushtaq
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Mixed Convection ◽  
Numerical Solutions ◽  
Saturated Porous Medium ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Continuous Increase ◽  
Unsteady Mixed Convection ◽  
Unsteady Stretching Surface

This paper deals with the analysis of an unsteady mixed convection flow of a fluid saturated porous medium adjacent to heated/cooled semi-infinite stretching vertical sheet in the presence of heat source. The unsteadiness in the flow is caused by continuous stretching of the sheet and continuous increase in the surface temperature. We present the analytical and numerical solutions of the problem. The effects of emerging parameters on field quantities are examined and discussed.

An Experimental Investigation of the Plume Velocity Field Above a Horizontal Line Heat Source

1977 ◽  
Vol 99 (4) ◽  
pp. 609-613 ◽  
Author(s):  
H. J. Nawoj ◽  
R. S. Hickman
Keyword(s):  
Velocity Field ◽  
Heat Source ◽  
Vertical Velocity ◽  
Line Source ◽  
Lateral Diffusion ◽  
Similarity Function ◽  
Horizontal Line ◽  
Line Heat Source ◽  
Stream Functions ◽  
Energy And Momentum

The vertical velocity field of a natural convection plume arising from a horizontal line heat source was investigated experimentally in detail. The measured vertical velocities were found to be 20–25 percent less than that predicted by analysis. Various causative factors for the discrepancy between analytical and experimental results were investigated, and shown to have a minimal effect. The power law relationship between the plume vertical velocity and energy input to the line source was found to be substantially greater than that predicted by analysis. A normalized similarity function did provide an excellent representation of the lateral diffusion of energy and momentum in the plume, indicating the validity of the boundary layer approximation for the velocity field. It was postulated that further refinement of the stream functions defined by existing analyses is required to accommodate the effects of the upstream flow field that exists in the physical representation of a line source and is omitted from consideration in the development of the analyses.

scholarly journals STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM

2021 ◽  
Vol 8 (7) ◽  
pp. 45-57
Author(s):  
Sharad Sinha ◽  
R. S. Yadav
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Fluid Velocity ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Similarity Transformations ◽  
Mixed Convective Flow ◽  
Source Sink

A viscous electrically conducting fluid is considered and its steady mixed convective flow along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic field, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in fluid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.

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