Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel

1997 ◽  
Vol 7 (7) ◽  
pp. 696-710 ◽  
Author(s):  
H.A. Machado ◽  
H.R.B. Orlande
Keyword(s):  
Heat Flux ◽  
Inverse Analysis ◽  
Parallel Plate ◽  
Wall Heat Flux ◽  
Plate Channel

Heat Transfer to Laminar Flow in Tapered Passages

1965 ◽  
Vol 32 (3) ◽  
pp. 684-689 ◽  
Author(s):  
E. M. Sparrow ◽  
J. B. Starr
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Reynolds Number ◽  
Nusselt Number ◽  
Wall Temperature ◽  
Parallel Plate ◽  
Laminar Flows ◽  
Wall Heat Flux ◽  
Heat Transfer Analysis ◽  
Plate Channel

Consideration is given to the fully developed heat-transfer characteristics of laminar flows in converging and diverging plane-walled passages. The analysis is carried out for the two fundamental thermal boundary conditions of prescribed wall heat flux and prescribed wall temperature. As a prelude to the heat-transfer analysis, a new solution for the velocity distribution is derived on the basis of a linearized momentum equation. The Nusselt number for flow in tapered passages is found to depend on the Reynolds number; this is in contrast to the situation for passages of longitudinally unchanging cross section wherein the Nusselt number is independent of the Reynolds number. In general, the Nusselt number for flow in a plane-walled diverging passage falls below that for the parallel-plate channel, while the Nusselt number for a converging flow is usually higher than that for a parallel-plate channel. Moreover, the fully developed Nusselt numbers for prescribed wall heat flux exceed those for prescribed wall temperature.

Estimation of transient boundary flux for a developing flow in a parallel plate channel

2014 ◽  
Vol 24 (3) ◽  
pp. 522-544 ◽  
Author(s):  
Ajit Kumar Parwani ◽  
Prabal Talukdar ◽  
P.M.V. Subbarao
Keyword(s):  
Heat Flux ◽  
Inverse Problem ◽  
Parallel Plate ◽  
Practical Importance ◽  
Unknown Boundary ◽  
Parallel Plates ◽  
Content Type ◽  
Developing Flow ◽  
Boundary Flux ◽  
Plate Channel

Purpose – The purpose of this paper is to develop a numerical model for estimating the unknown boundary heat flux in a parallel plate channel for the case of a hydrodynamically and thermally developing laminar flow. Design/methodology/approach – The conjugate gradient method (CGM) is used to solve the inverse problem. The momentum equations are solved using an in-house computational fluid dynamics (CFD) source code. The energy equations along with the adjoint and sensitivity equations are solved using the finite volume method. Findings – The effects of number of measurements, distribution of measurements and functional form of unknown flux on the accuracy of estimations are investigated in this work. The prediction of boundary flux by the present algorithm is found to be quite reasonable. Originality/value – It is noticed from the literature review that study of inverse problem with hydrodynamically developing flow has not received sufficient attention despite its practical importance. In the present work, a hydrodynamically and thermally developing flow between two parallel plates is considered and unknown transient boundary heat flux at the upper plate of a parallel plate channel is estimated using CGM.

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