Radiative effects on forced convection flows in micropolar fluids with variable viscosity

2004 ◽  
Vol 82 (2) ◽  
pp. 151-165 ◽  
Author(s):  
S M El-Kabeir
Keyword(s):  
Forced Convection ◽  
Energy Equation ◽  
Radiative Heat ◽  
Free Stream ◽  
Variable Viscosity ◽  
Plane Surface ◽  
The Other ◽  
Micropolar Fluids ◽  
Flowing Stream ◽  
Rosseland Approximation

The interaction of forced convection and thermal radiation during the flow of a surface moving continuously in a flowing stream of micropolar fluid with variable viscosity is studied. Two cases are considered: one corresponding to a plane surface moving in parallel with the free stream, the other to a surface moving in the opposite direction to the free stream. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The viscosity of the fluid is taken as a function of temperature. PACS No.: 44.27.+g

scholarly journals Analytical Solution of Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Convection through Porous Media with Heat Source/Sink

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Abdel-Nasser A. Osman ◽  
S. M. Abo-Dahab ◽  
R. A. Mohamed
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Energy Equation ◽  
Radiative Heat ◽  
Physical Parameters ◽  
Governing Equations ◽  
Laplace Transform Technique ◽  
Source Sink ◽  
Rosseland Approximation ◽  
Infinite Vertical Plate

This paper analytically studies the thermal radiation and chemical reaction effect on unsteady MHD convection through a porous medium bounded by an infinite vertical plate. The fluid considered here is a gray, absorbing-emitting but nonscattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing equations are solved using Laplace transform technique. The resulting velocity, temperature and concentration profiles as well as the skin-friction, rate of heat, and mass transfer are shown graphically for different values of physical parameters involved.

Heat transfer from moving surfaces in a micropolar fluid

1999 ◽  
Vol 77 (6) ◽  
pp. 463-471 ◽  
Author(s):  
M A Mansour ◽  
A A Mohammadein ◽  
S MM El-Kabeir ◽  
RSR Gorla
Keyword(s):  
Heat Transfer ◽  
Micropolar Fluid ◽  
Free Stream ◽  
Plane Surface ◽  
Heat Transfer Characteristics ◽  
Flow And Heat Transfer ◽  
Layer Analysis ◽  
Convection Problem ◽  
Energy Equations ◽  
Flowing Stream

A boundary layer analysis is presented for the forced convection problem of a surface moving continuously in a flowing stream of a micropolar fluid. Two cases are considered, one corresponding to a plane surface moving in parallel with the free stream and the other, a surface moving in the opposite direction to the free stream. A similarity solution to the governing momentum, angular momentum, and energy equations is derived.These equations were solved numerically and the flow and heat transfer characteristics of the micropolar fluid are presented. PACS No.: 61.00

Heat Transfer Committee and Turbomachinery Committee Best Paper of 1996 Award: The Path to Predicting Bypass Transition

1997 ◽  
Vol 119 (3) ◽  
pp. 405-411 ◽  
Author(s):  
R. E. Mayle ◽  
A. Schulz
Keyword(s):  
Boundary Layer ◽  
Kinetic Energy ◽  
Energy Equation ◽  
Free Stream ◽  
Bypass Transition ◽  
Turbulence Level ◽  
Free Stream Turbulence ◽  
Energy Profiles ◽  
Computer Codes ◽  
Good Agreement

A theory is presented for calculating the fluctuations in a laminar boundary layer when the free stream is turbulent. The kinetic energy equation for these fluctuations is derived and a new mechanism is revealed for their production. A methodology is presented for solving the equation using standard boundary layer computer codes. Solutions of the equation show that the fluctuations grow at first almost linearly with distance and then more slowly as viscous dissipation becomes important. Comparisons of calculated growth rates and kinetic energy profiles with data show good agreement. In addition, a hypothesis is advanced for the effective forcing frequency and free-stream turbulence level that produce these fluctuations. Finally, a method to calculate the onset of transition is examined and the results compared to data.

Radiation Effect on the Mixed Convection Flow of a Viscoelastic Fluid Along an Inclined Stretching Sheet

2012 ◽  
Vol 67 (3-4) ◽  
pp. 195-202 ◽  
Author(s):  
Muhammad Qasim ◽  
Tasawar Hayat ◽  
Saleem Obaidat
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Viscoelastic Fluid ◽  
Radiative Heat ◽  
Heat Transfer Analysis ◽  
Convection Flow ◽  
Viscoelastic Parameter ◽  
Homotopy Analysis ◽  
Rosseland Approximation ◽  
Momentum Boundary Layer

This study concentrates on the heat transfer analysis of the steady flow of viscoelastic fluid along an inclined stretching surface. Analysis has been carried out in the presence of thermal radiation and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The equations of continuity, momentum and energy are reduced into the system of governing differential equations and solved by homotopy analysis method (HAM). The velocity and temperature are illustrated through graphs. Exact and homotopy solutions are compared in a limiting sense. It is noticed that viscoelastic parameter decreases the velocity and boundary layer thickness. It is also observed that increasing values of viscoelastic parameter reduces the thickness of momentum boundary layer and increase the heat transfer rate. However, it is found that increasing the radiation parameter has the effect of decreasing the local Nusselt number

scholarly journals The use of fractional calculus for the optimal placement of electronic components on a linear array

2015 ◽  
Vol 28 (1) ◽  
pp. 77-84
Author(s):  
Mey de ◽  
Mariusz Felczak ◽  
Bogusław Więcek
Keyword(s):  
Integral Equation ◽  
Fractional Calculus ◽  
Forced Convection ◽  
Linear Array ◽  
The Other ◽  
Simple Solution ◽  
Optimal Placement ◽  
Critical Component ◽  
Electronic Components ◽  
One Dimensional

Cooling of heat dissipating components has become an important topic in the last decades. Sometimes a simple solution is possible, such as placing the critical component closer to the fan outlet. On the other hand this component will heat the air which has to cool the other components further away from the fan outlet. If a substrate bearing a one dimensional array of heat dissipating components, is cooled by forced convection only, an integral equation relating temperature and power is obtained. The forced convection will be modelled by a simple analytical wake function. It will be demonstrated that the integral equation can be solved analytically using fractional calculus.

Sign in / Sign up

Export Citation Format

Share Document