An optimization strategy for the inverse solution of a convection heat transfer problem

2018 ◽  
Vol 124 ◽  
pp. 1147-1155 ◽  
Author(s):  
Ardeshir Bangian-Tabrizi ◽  
Yogesh Jaluria
2005 ◽  
Vol 73 (1) ◽  
pp. 54-59 ◽  
Author(s):  
Rebhi A. Damseh

The magnetohydrodynamics-mixed convection heat transfer problem from a vertical surface embedded in a porous media is studied. The effects of transverse magnetic field and radiation heat transfer are examined. Both cases of the mixed convection heat transfer problem, namely: the buoyancy aiding flow and the buoyancy opposing flow are investigated. It is found that three dimensionless groups can describe the problem under consideration, the mixed convection parameter ζ, the radiation-conduction parameter Rd, and the magnetic field number Hax2∕Rex. Different velocity profiles, temperature profiles, and the local Nusselt number variations are also drawn.


2013 ◽  
Vol 17 (2) ◽  
pp. 567-580 ◽  
Author(s):  
Dipankar Chatterjee ◽  
Mohammad Raja

The mixed convection heat transfer around five in-line isothermal square cylinders periodically arranged within a vertical duct is numerically investigated in this paper. Spacing between two cylinders (S) is fixed at one width of the cylinder dimension (d) and the flow confinement of various degrees are studied for the blockage ratios of B = 0%, 10%, 25% and 50%. The buoyancy aided/opposed convection is examined for the Richardson number (Ri) ranges from -1 to +1 with a fixed Prandtl number Pr = 0.7 and Reynolds number Re = 100. The transient numerical simulation for this two-dimensional, incompressible, laminar flow and heat transfer problem is carried out by a finite volume based commercial CFD package FLUENT TM. The representative streamlines and isotherm patterns are presented to interpret the flow and thermal transport visualization. Additionally, the time and surface average skin friction coefficient (Cf), drag (CD) and lift (CL) coefficients as well as the time and surface average Nusselt number (Nu) for representative cylinders are determined to elucidate the effects of Re and Ri on the flow and heat transfer phenomena.


2008 ◽  
Vol 13 (2) ◽  
pp. 169-179 ◽  
Author(s):  
R. A. Damseh ◽  
A. S. Shatnawi ◽  
A. J. Chamkha ◽  
H. M. Duwairi

The viscoelastic boundary layer flow and mixed convection heat transfer near a vertical isothermal surface have been examined in this paper. The governing equations are formulated and solved numerically using an explicit finite difference technique. The velocity and temperature profiles, boundary layer thicknesses, Nusselt numbers and the local skin friction coefficients are shown graphically for different values of the viscoelsatic parameter. In general, it is found that the velocity decreases inside the boundary layer as the viscoelsatic parameter is increased and consequently, the local Nusselt number decreases. This is due to higher tensile stresses between viscoelsatic fluid layers which has a retardation effects on the motion of these layers and consequently, on the heat transfer rates for the mixed convection heat transfer problem under investigation. A Comparison with available published results on special cases of the problem shows excellent agreement.


1985 ◽  
Vol 107 (1) ◽  
pp. 57-62 ◽  
Author(s):  
J. C. Friedly

Systems of dynamic models involving the coupling of both conduction and convection offer significant theoretical challenges because of the interaction between parabolic and hyperbolic types of responses. Recent results of state space theory for coupled partial differential equation models are applied to conjugate heat transfer problems in an attempt to understand this interaction. Definition of a matrix of Green’s functions for such problems permits the transient responses to be resolved directly in terms of the operators’ spectral properties when they can be obtained. Application of the theory to a simple conjugate heat transfer problem is worked out in detail. The model consists of the transient energy storage or retrieval in a stationary, single dimensioned matrix through which an energy transport fluid flows. Even though the partial differential operator is nonself-adjoint, it is shown how its spectral properties can be obtained and used in the general solution. Computations are presented on the effect of parameters on the spectral properties and the nature of the solution. Comparison is made with several readily solvable limiting cases of the equations.


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