Simple and accurate solution for convective–radiative fin with temperature dependent thermal conductivity using double optimal linearization

Bouaziz, Mohamed Najib; Aziz, Abdul

doi:10.1016/j.enconman.2010.05.033

Cited by 71 publications

(42 citation statements)

References 23 publications

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“…Convection environment temperature (K) T s Radiation sink temperature (K) x Axial distance measured from the tip of the fin (m) X Axial distance measured from the tip of the fin (dimensionless) a Difference, N i 2 -N i-1 2 , (i = 1, 2,3) (dimensionless) a opt Optimum value of parameter a b 1 , b 2 Thermal conductivity parameters (K -1 ) e…”

Section: List Of Symbols Fmentioning

confidence: 99%

“…Thermal conductivity (W m -1 K -1 ) k 0 Thermal conductivity at ambient temperature (W m -1 K -1 ) L Fin length (m) N Fin parameter or convection-conduction parameter (dimensionless) N 1 Fin parameter in OLM solution (dimensionless) N 2 Fin parameter in DOLM (dimensionless) N 3 Fin parameter in TriOLM (dimensionless) Fin base temperature (K) T ?…”

Section: List Of Symbols Fmentioning

confidence: 99%

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An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Bouaziz

Aziz

2014

Heat Mass Transfer

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Efficiency and temperature distributions of rectangular convective-radiative-generating fin are evaluated when thermal conductivity and internal heat generation are temperature dependent. It demonstrates that the proposed method can be treated sequentially the nonlinear fin problem with three nonlinearities. Predicted results are found accurate within 4 % of the tip fin temperature and 5 % for the efficiencies. For practical used fins, the fin efficiency is strongly sensitive to convective and radiation environmental temperatures.

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Section: List Of Symbols Fmentioning

confidence: 99%

Section: List Of Symbols Fmentioning

confidence: 99%

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Bouaziz

Aziz

2014

Heat Mass Transfer

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“…Sertkaya et al [11] presented pin-finned surfaces in natural convection. Bouaziz and Aziz [12] studied convective-radiative fin with temperature dependent thermal conductivity using double optimal linearization. Jang et al [13] studied 3-D turbulent flow of venting flue gas using thermoelectric generator modules and plate fin heat sink.…”

Section: Introductionmentioning

confidence: 99%

Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

Uddin

Bég

Uddin

2016

Energy

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Energy conversion under conjugate conduction, magnetoconvection, diffusion and nonlinear radiation over a nonlinearly stretching sheet with slip and multiple convective boundary conditions Uddin AbstractEnergy conversion under conduction, convection, diffusion and radiation has been studied for MHD free convection heat transfer of a steady laminar boundary-layer flow past a moving permeable non-linearly extrusion stretching sheet. The nonlinear Rosseland thermal radiation flux model, velocity slip, thermal and mass convective boundary conditions are considered to obtain a model with fundamental applications to real world energy systems. The Navier slip, thermal and mass convective boundary conditions are taken into account. Similarity differential equations with corresponding boundary conditions for the flow problem, are derived, using a scaling group of transformation. The transformed model is shown to be controlled by magnetic field, conduction-convection, convection-diffusion, suction/injection, radiation-conduction, temperature ratio, Prandtl number, Lewis number, buoyancy ratio and velocity slip parameters. The transformed non-dimensional boundary value problem comprises a system of nonlinear ordinary differential equations and physically realistic boundary conditions, and is solved numerically using the efficient Runge-Kutta-Fehlberg fourth fifth order numerical method, available in Maple17 symbolic software. Validation of results is achieved with previous simulations available in the published literature. The obtained results are displayed both in graphical and tabular form to exhibit the effect of the controlling parameters on the dimensionless velocity, temperature and concentration distributions. The current study has applications in high temperature materials processing utilizing magnetohydrodynamics, improved performance of MHD energy generator wall flows and also magnetic-microscale fluid devices.

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“…In a study presented by Kundu and Bhanja [9], an exercise has been devoted to establish an analytical model for thermal performance and optimization of a constructal fin subject to variable thermal conductivity of fin material and convective heat transfer coefficient over the fin surface. The Least Square Method is introduced by Aziz and Bouaziz [10] for predicting the performance of longitudinal fins with variable thermal-conductivity. An analytical study based on the Adomian decomposition method on thermal performance and optimization for an absorber plate fin having variable thermal conductivity and overall loss coefficient has been conducted by Kundu [11].…”

Section: Introductionmentioning

confidence: 99%

Variation of parameters method for optimizing annular fins with variable thermal properties

Arslantürk¹

2018

Pamukkale J Eng Sci

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Simple and accurate solution for convective–radiative fin with temperature dependent thermal conductivity using double optimal linearization

Cited by 71 publications

References 23 publications

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

Variation of parameters method for optimizing annular fins with variable thermal properties

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