Nonequilibrium heat conduction in a nanofluid layer with periodic heat flux

Effects of Brownian and thermophoretic diffusions on nonequilibrium heat conduction in a nanofluid layer with periodic heat flux on one side and specified temperature on the other side are investigated numerically. The problem are described by eight dimensionless parameters: density ratio, heat capacity ratio, Lewis number, Soret coefficient, initial volume fraction of nanoparticles, initial temperature, Sparrow number, and period of the surface heat flux. Effects of Brownian and thermophoretic diffusions of nanoparticles on nonequilibrium heat conduction in nanofluid obtained by dispersing copper nanoparticles into ethylene glycol are investigated. The results showed that the Brownian and thermophoretic diffusions only affect the nanoparticle temperature but their effect on the heat transfer enhancement is negligible.

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Thermal Responses of a Thin Plate under Periodic Heat Flux Oscillation

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.578-579.902 ◽

2014 ◽

Vol 578-579 ◽

pp. 902-906

Author(s):

Qiang Nian Li

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Thin Plate ◽

Separation Of Variables ◽

Temperature Response ◽

Conservation Equation ◽

Conduction Model ◽

Thermal Behaviors ◽

Heat Flux Vector ◽

Periodic Heat

Thermal behaviors of a thin plate under a periodic surface thermal disturbance are investigated. The temperature and the displacement responses are predicted using the parabolic heat conduction model. The solution of temperature response is obtained by separation of variables. Firstly, an analytic expression of heat flux filed within the plate is obtained by using the parabolic heat conduction equation which is described by heat flux vector, then, based on the conservation equation of energy, the temperature response is given. The displacement response of the plate is solved analytically using the Nowachi’s and the Navier’s approachs. The thermal behaviors of a plate with various relatively parameters is calculated numerically and the results shown graphically.

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Effect of Brownian and Thermophoretic Diffusions of Nanoparticles on Nonequilibrium Heat Conduction in a Nanofluid Layer with Periodic Heat Flux

Numerical Heat Transfer Part A Applications ◽

10.1080/10407780903163876 ◽

2009 ◽

Vol 56 (4) ◽

pp. 325-341 ◽

Cited By ~ 30

Author(s):

Yuwen Zhang ◽

Ling Li ◽

H. B. Ma ◽

Mo Yang

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Periodic Heat

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Magnetogasdynamic exponential shock wave in a self-gravitating, rotational axisymmetric non-ideal gas under the influence of heat-conduction and radiation heat-flux

Ricerche di Matematica ◽

10.1007/s11587-021-00563-7 ◽

2021 ◽

Author(s):

P. K. Sahu

Keyword(s):

Shock Wave ◽

Heat Flux ◽

Heat Conduction ◽

Ideal Gas ◽

Radiation Heat ◽

Radiation Heat Flux ◽

Exponential Shock Wave

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New Galerkin-vector theory and efficient numerical method for analyzing steady-state heat conduction in inhomogeneous bodies subjected to a surface heat flux

Applied Thermal Engineering ◽

10.1016/j.applthermaleng.2019.113838 ◽

2019 ◽

Vol 161 ◽

pp. 113838 ◽

Cited By ~ 1

Author(s):

Xiujiang Shi ◽

Qian Wang ◽

Liqin Wang

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Steady State ◽

Numerical Method ◽

Surface Heat Flux ◽

Surface Heat ◽

State Heat ◽

Inhomogeneous Bodies ◽

Vector Theory ◽

Steady State Heat

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BOUNDARY ELEMENT METHOD APPLIED TO STEADY PERIODIC HEAT CONDUCTION

Numerical Heat Transfer Part A Applications ◽

10.1080/10407789108944841 ◽

1991 ◽

Vol 19 (1) ◽

pp. 117-124 ◽

Cited By ~ 3

Author(s):

Shi Chao Yang ◽

Guo Rong Zheng

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Periodic Heat ◽

Element Method

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Efficient Numerical Solution of Inverse Heat Conduction Problems

Volume 3C: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration Control, Analysis, and Identification ◽

10.1115/detc1995-0659 ◽

1995 ◽

Author(s):

Hans-Jürgen Reinhardt ◽

Dinh Nho Hao

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Numerical Methods ◽

Stationary Point ◽

Forthcoming Paper ◽

Inverse Heat Conduction ◽

Piecewise Constant ◽

Numerical Tests ◽

Inverse Heat Conduction Problems ◽

Special Case

Abstract In this contribution we propose new numerical methods for solving inverse heat conduction problems. The methods are constructed by considering the desired heat flux at the boundary as piecewise constant (in time) and then deriving an explicit expression for the solution of the equation for a stationary point of the minimizing functional. In a very special case the well-known Beck method is obtained. For the time being, numerical tests could not be included in this contribution but will be presented in a forthcoming paper.

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