Geometry: shape, size, aspect ratio and orientation Flow Type: forced, natural, laminar, turbulent, internal, external Boundary: isothermal (Tw = constant) or isoflux (q̇w = constant) Fluid Type: viscous oil, water, gases or liquid metals Properties: all properties determined at film temperature Tf = (Tw + T∞)/2 Note: ρ and ν ∝ 1/Patm ⇒ see Q12-40 density: ρ ((kg/m) specific heat: Cp (J/kg ·K) dynamic viscosity: μ, (N · s/m) kinematic viscosity: ν ≡ μ/ρ (m/s) thermal conductivity: k, (W/m ·K) thermal diffusivity: α, ≡ k/(ρ · Cp) (m/s) Prandtl number: Pr, ≡ ν/α (−−) volumetric compressibility: β, (1/K)

Convection Heat Transfer

Conjugate mixed convection with surface radiation from a horizontal channel with protruding heat sources

Conjugate natural convection combined with surface thermal radiation in an air filled cavity with internal heat source

Effect of surface radiation on conjugate mixed convection in a vertical channel with a discrete heat source in each wall

A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted Due to the immenseness of the literature volume, the survey

Literature Survey of Numerical Heat Transfer (2000–2009): Part II

The results of a numerical study of the problem of two-dimensional, steady, incompressible, conjugate, laminar, mixed convection with surface radiation from a vertical plate with a flush-mounted discrete heat source are reported. The governing equations, written in vorticity-stream function form, are solved using a finite-volume based finite difference method. A hybrid grid system has been employed for discretization of the computational domain. The effects of (i) the magnitude and location of the heat source, (ii) the material and surface properties of the plate, and (iii) the free-stream velocity on both heat transfer and fluid flow have been studied. Based on a large set of (more than 550) numerical data, correlations have been developed for maximum and average non-dimensional plate temperatures and mean friction coefficient. A method for evaluating the forced convection mean friction coefficient component, which may be used in estimating the power input required for maintaining the flow, has been proposed

Conjugate Mixed Convection With Surface Radiation From a Vertical Plate With a Discrete Heat Source

This article reports the results of a numerical study of the problem of interaction of surface radiation with conduction and convection from a vertical channel equipped with three flush-mounted discrete heat sources in the left wall. The governing equations for temperature distribution along each of the two channel walls have been deduced based on appropriate energy balance between various energy interactions in which the channel is involved. Radiosity-irradiation formulation is employed to tackle radiation-related calculations, with the view factors involved therein obtained using Hottel's crossed-string method. The governing nonlinear partial differential equations are converted into algebraic form through a finite-volume-based finite-difference method, and are subsequently solved using Gauss-Seidel iterative technique. An optimum grid system, with 26 grids along each of the three discrete heat sources and 11 grids along each of the two non-heat source portions of the board, is used for discretization o...

Interaction of Surface Radiation with Conduction and Convection from a Vertical Channel with Multiple Discrete Heat Sources in the Left Wall

The problem of combined conduction-mixed convection-surface radiation from a vertical electronic board provided with three identical flush-mounted discrete heat sources is solved numerically The cooling medium is air that is considered to be radiatively transparent The governing equations for fluid flow and heat transfer are converted from primitive variable form to stream function-vorticity formulation The equations, thus obtained, are normalised and then are converted into algebraic form using a finite volume based finite difference method The resulting algebraic equations are then solved using Gauss–Seidel iterative method An optimum grid system comprising 151 grids along the board and 111 grids across the board is chosen The effects of various parameters, such as modified Richardson number, surface emissivity and thermal conductivity on temperature distribution along the board, maximum board temperature and relative contributions of mixed convection and radiation to heat dissipation are studied in detail Further, the contributions of free and forced convection components of mixed convection to board temperature distribution and peak board temperature are brought out The exclusive roles played by surface radiation and buoyancy in the present problem are clearly elucidated

Conjugate mixed convection with surface radiation from a vertical electronic board with multiple discrete heat sources

The present article reports the results of a numerical study on combined conduction-mixed convection-surface radiation from a vertical plate with uniform internal heat generation. The study considers the governing fluid flow and heat transfer equations without boundary layer approximations. Air is taken to be the cooling medium. Stream function-vorticity formulation, coupled with finite volume method, is used to solve the problem. A computer code has been written for the purpose, and results are validated with available experimental and analytical results for asymptotic limiting cases. In addition to making comprehensive parametric studies, useful correlations for evaluating the nondimensional maximum and average temperatures of the plate and mean friction coefficient are deduced based on a large set of data generated from the code.

C. Gururaja Rao

Papers

Effect of surface radiation on conjugate mixed convection in a vertical channel with a discrete heat source in each wall

Conjugate Mixed Convection With Surface Radiation From a Vertical Plate With a Discrete Heat Source

Interaction of Surface Radiation with Conduction and Convection from a Vertical Channel with Multiple Discrete Heat Sources in the Left Wall

Conjugate mixed convection with surface radiation from a vertical electronic board with multiple discrete heat sources

Combined conduction-mixed convection-surface radiation from a uniformly heated vertical plate