Estimation of inlet temperature of a developing fluid flow in a parallel plate channel

Parwani, Ajit Kumar; Talukdar, Prabal; Subbarao, P.M.V.

doi:10.1016/j.ijthermalsci.2012.02.009

Cited by 12 publications

(2 citation statements)

References 22 publications

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“…The best position of location of sensors is found at Y ¼ 90 DY ¼ 0.00225 where the RMS error is 3.06. With further decrease in distance between sensors and the top wall, the predicted results again deteriorates because the flow is developing and sensors positioned very near to the estimated boundary possess fluctuating (unstable) gradients (Parwani et al, 2012;Hong and Baek, 2006). Figure 4 Figure 9(a) shows the results of the axial variation of flux at three different times when M ¼ 49.…”

Section: Initial Guess Q(x )=0mentioning

confidence: 99%

“…It is also noticed from the literature review cited above that the study of inverse problem with hydrodynamically developing flow has not received sufficient attention despite its practical importance. To the authors' knowledge, most of the literatures deal with hydrodynamically developed flow field except that, recently, Parwani et al (2012) estimated the steady state inlet temperature in a parallel plate channel with hydrodynamically and thermally developing flow field. A similar effort has been made in the present work for the estimation of transient heat flux in a parallel plate channel.…”

Section: Introductionmentioning

confidence: 99%

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

Parwani

Talukdar

Subbarao

2014

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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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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Section: Initial Guess Q(x )=0mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%