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Steady and Transient State Analyses on Conjugate Laminar Forced Convection Heat Transfer

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Abstract

The term ‘conjugate heat transfer’ refers to a heat transfer process involving an interaction of heat conduction within a solid body with either of the free, forced, and mixed convection from its surface to a fluid flowing over it. It finds application in numerous fields starting from thermal interaction between surrounding air and fins to thermal interaction between flowing fluid and turbine blades. In this article, a systematic literature review of studies pertinent to laminar conjugate conduction-forced convection heat transfer analysis subjected to internal and external flow conditions is performed. The review reports both steady and unsteady state analyses related to experimental, analytical and numerical investigations, in both rectangular and cylindrical geometries with an exemption to micro and mini channel related studies. The studies are categorically put forth initially and an overview of these studies is presented in tabular and graphical form for a swift glance later under each section. This paper is concluded highlighting the salient features of the review, with respect to physical and mathematical models, methodology and applications. The challenges and scope for future study reported at the end of this paper gives the reader an insight into the gaps in the area of conjugate heat transfer analysis of steady and transient state under laminar forced convection flow regimes.

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Abbreviations

A :

Thermal diffusivity ratio

ADI :

Alternating direction implicit

Ar :

Aspect ratio

B :

Buoyancy parameter, angular frequency, Biot number

Bi :

Biot number

Be :

Dimensionless Bejan number

Br :

Brun number

CHT:

Conjugate heat transfer

C R :

Thermal capacity ratio

CFD:

Computational fluid dynamics

CLEARER:

Coupled and linked equations algorithm revised—ER

E :

Elastic number

Ec :

Viscous dissipation parameter

FDM:

Finite difference method

FEM:

Finite element method

FIDAP:

Fluid dynamics analysis package

FVM:

Finite volume method

GITT:

Generalized Integral Transform Technique

H :

Height

h :

Heat transfer coefficient

k :

Thermal conductivity

L, l :

Length

M :

Mach number

Ncc :

Conduction-convection parameter or thermal conductivity ratio (solid to fluid)

Nu :

Nusselt number

Nu + :

Nusselt number ratio

Nu Z :

Local Nusselt number

Pe :

Peclet number

Pr :

Prandtl number

Q t :

Total heat generation parameter

q + :

Heat flux ratio

Re, Re H :

Reynolds number

Ri :

Richardson number

SIMPLE:

Semi-implicit method for pressure linked equations

SIMPLER:

Semi-implicit method for pressure linked equations revised

T ∞ :

Ambient temperature

T w :

Wall temperature

UFED:

Uniform flow effective diffusivity

u :

Axial velocity

u ∞ :

Free stream velocity

v :

Transverse velocity

max :

Maximum

s :

Solid

f :

Fluid

T :

Thickness

w :

Wall

t :

Total, time, thermalization

∞ :

Free stream

R :

Ratio

sat :

Saturation

min :

Minimum

ф :

Conductance parameter

ξ :

Channel length

ζ, α :

Conjugate parameter

δT :

Thermal boundary layer thickness

θ max :

Dimensionless maximum temperature

ϕ :

Porosity

δ :

Boundary layer thickness

θ :

Dimensionless temperature

β :

Radius ratio

η tt :

Thermalization time

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Authors and Affiliations

  1. Department of Mechanical Engineering, P. A. College of Engineering (Affiliated to Visvesvaraya Technological University, Belagavi), Mangaluru, India

    Asif Afzal, A. D. Mohammed Samee, R. K. Abdul Razak & M. K. Ramis

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  1. Asif Afzal
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  2. A. D. Mohammed Samee
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  3. R. K. Abdul Razak
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  4. M. K. Ramis
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Correspondence to M. K. Ramis.

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Afzal, A., Samee, A.D.M., Razak, R.K.A. et al. Steady and Transient State Analyses on Conjugate Laminar Forced Convection Heat Transfer. Arch Computat Methods Eng 27, 135–170 (2020). https://doi.org/10.1007/s11831-018-09303-x

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