Numerical Investigation of Forced Convective Heat Transfer Around and Through a Porous Circular Cylinder With Internal Heat Generation

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
Mohammad Sadegh Valipour ◽  
Ariyan Zare Ghadi
Keyword(s):  
Heat Transfer ◽  
Circular Cylinder ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Staggered Grid ◽  
Polar Coordinate System ◽  
Governing Equations

In this study, convective heat transfer around and through a porous circular cylinder together with internal heat generation has been investigated numerically. Governing equations containing continuity, momentum, and energy equations have been developed in polar coordinate system in both porous and nonporous media based on single-domain approach. However, governing equations in porous medium are derived using intrinsic volume averaging method. The equations are solved numerically based on finite volume method over staggered grid arrangement. Also, pressure correction-based iterative algorithm, SIMPLE, is applied for solving the pressure linked equations. Reynolds and Peclet numbers (based on cylinder diameter and velocity of free stream) are from 1 to 40. Also, Darcy number (Da) varies within the range of 10-6≤Da≤10-2 and porosity is considered 0.9 for all calculations. The influence of Da and Re numbers on local and average Nu numbers has been investigated. It is found that the local and average Nu numbers increase with any increase in Da number. Two correlations of average Nu number are presented for high and low Da numbers.

Modeling of mixed convective heat transfer utilizing nanofluid in a double lid-driven chamber with internal heat generation

2013 ◽  
Vol 24 (1) ◽  
pp. 36-57 ◽  
Author(s):  
Rehena Nasrin ◽  
M.A. Alim ◽  
Ali J. Chamkha
Keyword(s):  
Heat Transfer ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Heat Generation ◽  
Richardson Number ◽  
Volume Fraction ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Content Type ◽  
Weighted Residuals

Purpose – This work is focused on the numerical modeling of mixed convective heat transfer in a double lid-driven cavity filled with water-CuO nanofluid in the presence of internal heat generation. The paper aims to discuss these issues. Design/methodology/approach – The flow field is modeled using a generalized form of the momentum and energy equations. Discretization of the governing equations is achieved using the penalty finite element scheme based on the Galerkin method of weighted residuals. Findings – The effects of pertinent parameters such as the internal heat generation parameter (Q), the Richardson number (Ri) and the solid volume fraction () on the flow and heat transfer characteristics are presented and discussed. The obtained results depict that the Richardson number plays a significant role on the heat transfer characterization within the triangular wavy chamber. Also, the present results show that an increase in volume fraction has a significant effect on the flow patterns. Research limitations/implications – Because of the chosen research approach numerically, the research results may lack generalisability. Therefore, researchers are encouraged to test the proposed propositions experimentally. Practical implications – A nanofluid is a base fluid with suspended metallic nanoparticles. Because traditional fluids used for heat transfer applications such as water, mineral oils and ethylene glycol have a rather low thermal conductivity, nanofluids with relatively higher thermal conductivities have attracted enormous interest from researchers due to their potential in enhancement of heat transfer with little or no penalty in pressure drop. Originality/value – This paper fulfils an identified need to study how brand-supportive behaviour can be enabled.

scholarly journals MHD-Conjugate Free Convection from an Isothermal Horizontal Circular Cylinder with Joule Heating and Heat Generation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
NHM. A. Azim ◽  
M. K. Chowdhury
Keyword(s):  
Heat Transfer ◽  
Circular Cylinder ◽  
Skin Friction ◽  
Heat Generation ◽  
Joule Heating ◽  
Numerical Study ◽  
Internal Heat ◽  
Governing Equations ◽  
Generation Parameter ◽  
Horizontal Circular Cylinder

The present work is devoted to the numerical study of laminar magnetohydrodynamic (MHD) conjugate natural convection flow from a horizontal circular cylinder taking into account Joule heating and internal heat generation. The governing equations and the associated boundary conditions for this analysis are made nondimensional forms using a set of dimensionless variables. Thus, the nondimensional governing equations are solved numerically using finite difference method with Keller box scheme. Numerical outcomes are found for different values of the magnetic parameter, conjugate conduction parameter, Prandtl number, Joule heating parameter, and heat generation parameter for the velocity and the temperature within the boundary layer as well as the skin friction coefficients and the rate of heat transfer along the surface. It is found that the skin friction increases, and heat transfer rate decreases for escalating value of Joule heating parameter and heat generation parameter. Results are presented graphically with detailed discussion.

Sign in / Sign up

Export Citation Format

Share Document