Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption

2011 ◽  
Vol 217 (12) ◽  
pp. 5810-5821 ◽  
Author(s):  
Robert A. Van Gorder ◽  
K. Vajravelu
Keyword(s):  
Heat Transfer ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Conducting Fluid ◽  
Stretching Surface

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 HEAT TRANSFER IN A POROUS MEDIUM OVER A STRETCHING SURFACE WITH INTERNAL HEAT GENERATION AND SUCTION OR INJECTION IN THE PRESENCE OF RADIATION

1970 ◽  
Vol 40 (1) ◽  
pp. 22-28 ◽  
Author(s):  
Tamanna Sultana ◽  
Sumon Saha ◽  
Mohammad Mansur Rahman ◽  
Goutam Saha
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Viscous Drag ◽  
Local Similarity ◽  
Stretching Surface ◽  
Suction Or Injection

Heat transfer in a porous medium over a stretching surface with internal heat generation and suction or injection has been analyzed numerically in the presence of radiation. In this analysis, the governing equations are transformed into a system of ordinary differential equations and solved them numerically using Nachtsheim-Swigert shooting iteration technique. The local similarity solutions for the flow and the heat transfer characteristics are presented graphically for various material parameters entering into the problem. The effects of the pertinent parameters on the local skin friction coefficient (viscous drag) and the Nusselt number (rate of heat transfer) are also displayed graphically. Keywords: Internal heat generation, suction, injection, radiation, Nusselt number.   doi: 10.3329/jme.v40i1.3469   Journal of Mechanical Engineering, Vol. ME40, No. 1, June 2009 22-28

Heat transfer over a stretching surface with internal heat generation

2003 ◽  
Vol 81 (4) ◽  
pp. 699-703 ◽  
Author(s):  
E MA Elbashbeshy ◽  
M AA Bazid
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Prandtl Number ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Profiles ◽  
Stretching Surface ◽  
Heat Generation Or Absorption ◽  
Source Sink

Heat transfer over a stretching surface with internal heat generation or absorption is examined. The surface is moving with a power-law velocity distribution. The effect of various governing parameters, such as the Prandtl number, the velocity exponent, and the heat-source/sink parameter on the velocity profiles, temperature profiles, and rate of heat transfer are analyzed. PACS No.: 44.20.tb

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