Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall

Chamkha, Ali J.; Ismael, Muneer A.

doi:10.1016/j.ijthermalsci.2012.12.002

Cited by 173 publications

(68 citation statements)

References 42 publications

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“…The resultfroms said when increasing Re, Pr, Bn, Ri, the momentum and thermal boundary layers become thinner over the cylinder; also, the pressure coefficient, the drag coefficient, the volume fraction and the mean Nusselt numbers are discussed. Another important geometries are: 1) A square domain (porous cavity) heated by a triangular thick wall [30,31] filled with nanofluid and a triangular wall with an opening from the top [32]. These studies presented isotherms and streamlines for different parameters such as Rayleigh, wall thickness, nanoparticles volume fraction… and their influences on the Nusselt numbers.…”

Section: Introductionmentioning

confidence: 99%

Laminar natural convection of non-Newtonian power-law fluid in an eccentric annulus

2021

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This work is about studying the natural convection of two-dimensional steady state non-Newtonian power law fluid numerically. The inner cylinder was put eccentrically into the outer one. The cylinders are held at constant temperatures with the inner one heated isothermally at temperature Th and the outer one cooled isothermally at temperature Tc (Th>Tc). The simulations have been taken for the parameters 10 3 ≤Ra≤10 5 , 10≤Pr≤10 3 , 0.6≤n≤1.4, 0≤ɛ≤0.9 and an inclination angle ϕ from 0° up to 90°. The average Nusselt numbers for the previous parameters are obtained and discussed numerically. The results revealed that the average Nusselt number has the highest values when n=0.6, Ra=10 5 at ϕ=0 which is a signal for the large transfer herein and has the lowest values for n=1.4, Ra=10 3 at ϕ=90° which is a signal that the transfer is by conduction more than convection. Furthermore, the increasing of eccentricity causes an increase in the Nusselt number for all the cases. Finally, the best case where we can get the best heat transfer is at ϕ = 0, ɛ=0.9 among them all. The results have compared with some precedent works and showed good agreement.

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Section: Introductionmentioning

confidence: 99%

Laminar natural convection of non-Newtonian power-law fluid in an eccentric annulus

2021

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“…The vertical walls of the cavity are assumed to be differentially heated while the top and bottom wavy walls are thermally insulated. Chamkha and Ismael [17] examined the combined effect of natural convection and conduction heat transfer resulting from a triangular solid wall in a square cavity embedded in nanofluids filled porous matrix. Mahmoodi and Sebdani [18] conducted numerical simulation to study heat transfer and flow field inside a square cavity in the presence of an adiabatic square body at its center.…”

Section: Introductionmentioning

confidence: 99%

Natural convection in a cavity with trapezoidal heat sources mounted on a square cylinder

2020

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Flow and heat transfer in an enclosed domain bounded by two concentric square cylinders are investigated in the presence of trapezoidal heat sources placed on the inner square cylinder. The governing equations valid for the present geometry are derived using suitable transformations. These are solved employing finite difference method. Numerical results show that the intensity of streamlines and isotherms is significantly augmented upon increasing the number of the heat sources, the width and breadth of the heat sources and the Rayleigh number. Usually, each half of the cavity contains one major vortex which consists of two eddies. However, for larger width or breadth of the heat sources each major vortex consists of three eyes. This remarkable characteristic is identified because of the 2 weak eddies on both sides of a heat source. When the Rayleigh number is relatively high, there exist three vortices in each half of the cavity. Due to the increase of the width and breadth of the heat sources, the Nusselt number at the top of the heat sources decreases whereas the Nusselt number at the outer walls of the cavity is found to increase. Moreover, an increasing Rayleigh number considerably augments the heat transfer through the heat sources and the outer walls of the cavity.

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“…Buongiorno [3] developed a new correlation explanation for convective heat transport of nanofluids considering the Brownian diffusion. Chamkha and Ismael [4] considered the steady-conjugate natural convection heat transfer of three types of nanofluids in a square porous cavity which was heated by a triangular solid wall under a wide range of considered parameter. Xu et al [5] studied the mixed convection flow of nanofluids caused by both the external pressure and the buoyancy force in a vertical channel, the effects of the Prandtl number and other parameters were analyzed.…”

Section: Introductionmentioning

confidence: 99%

Bioconvection heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump

et al. 2017

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This paper presents an investigation for bioconvection heat transfer of a nanofluid containing gyrotactic microorganisms over a stretching sheet, in which the effects of radiation, velocity slip, and temperature jump are taken into account. The non-linear governing equations are reduced into four ordinary differential equations by similarity transformations and solved by homotopy analysis method, which is verified with numerical results in good agree. Results indicate that the density of motile microorganisms and gyrotactic microorganisms increase with bioconvection Rayleigh number, while decrease with increasing in bioconvection Peclet number and bioconvection Lewis number. It is also found that the Nusselt number, Sherwood number, and gyrotactic microorganisms density depend strongly on the buoyancy, nanofluids, and bioconvection parameters.

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Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall

Cited by 173 publications

References 42 publications

Laminar natural convection of non-Newtonian power-law fluid in an eccentric annulus

Laminar natural convection of non-Newtonian power-law fluid in an eccentric annulus

Natural convection in a cavity with trapezoidal heat sources mounted on a square cylinder

Bioconvection heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump

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