Heat transfer for laminar flow through parallel porous disks of different permeability

Gaur, Yashesh; Chaudhary, R. C.

doi:10.1007/bf02837756

Cited by 11 publications

(9 citation statements)

References 6 publications

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“…The problem of steady flow of a viscous fluid between two porous disks was studied by Rasmussen [5] in which the fluid motion was symmetrically driven by equal injection or suction at both the disks. Guar et al [6] solved the problem of temperature distribution and heat transfer for laminar asymmetric flow through two parallel porous disks. The fluid motion was induced due to the different injection/suction velocities at the two disks.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk

Ashraf

Kamal

Syed

2009

Applied Mathematical Modelling

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a b s t r a c tTwo dimensional steady, laminar and incompressible motion of a micropolar fluid between an impermeable disk and a permeable disk is considered to investigate the influence of the Reynolds number and the micropolar structure on the flow characteristics. The main flow stream is superimposed by constant injection velocity at the porous disk. An extension of Von Karman's similarity transformations is applied to reduce governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. An algorithm based on finite difference method is employed to solve these ODEs and Richardson's extrapolation is used to obtain higher order accuracy. The numerical results reflect the expected physical behavior of the flow phenomenon under consideration. The study indicates that the magnitude of shear stress increases strictly and indefinitely at the impermeable disk while it decreases steadily at the permeable disk, by increasing the injection velocity. Moreover, the micropolar fluids reduce the skin friction as compared to the Newtonian fluids. The magnitude of microrotation increases with increasing the magnitude of R and the micropolar parameters. The present results are in excellent comparison with the available literature results.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk

Ashraf

Kamal

Syed

2009

Applied Mathematical Modelling

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“…The fluid motion was symmetrically driven by equal injection or suction at both the disks. Guar et al [6] solved the problem of temperature distribution and heat transfer for laminar flow through two parallel porous disks with different permeability. The fluid motion was induced due to different injection/suction velocities at the two disks.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigations of asymmetric flow of a micropolar fluid between two porous disks

2009

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Numerical solution is presented for the twodimensional flow of a micropolar fluid between two porous coaxial disks of different permeability for a range of Reynolds number Re (−300 ≤ Re < 0) and permeability parameter A (1.0 ≤ A ≤ 2.0). The main flow is superimposed by the injection at the surfaces of the two disks. Von Karman's similarity transformations are used to reduce the governing equations of motion to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. An algorithm based on the finite difference method is employed to solve these ODEs and Richardson's extrapolation is used to obtain higher order accuracy. The results indicate that the parameters Re and A have a strong influence on the velocity and microrotation profiles, shear stresses at the disks and the position of the viscous/shear layer. The micropolar material constants c 1 , c 2 , c 3 have profound effect on microrotation as compared to their effect on streamwise and axial velocity profiles. The results of micropolar fluids are compared with the results for Newtonian fluids.

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“…The nonlinear differential equations (37-40) which represent the velocity distribution, microrotation, temperature distribution and concentration respectively, along with the respective boundary conditions (42)(43) were solved numerically using the Runge-Kutta fourth order method along with shooting technique. In order to solve these nonlinear higher order equations firstly, they were reduced to a set of first order differential equations.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Elcrat [41] obtained the exact solution of the viscous fluid flow between two coaxial and permeable disks. Gaur et al [42] considered different permeability to study the velocity and temperature distribution of fluid flow through two porous parallel plates in the presence of suction or injection. Bujurke [43] et al obtained similarity solution of the axisymmetric fluid flow through two coaxial disks where one plate is rotating and the other plate is stationary.…”

Section: Introductionmentioning

confidence: 99%

MHD stagnation point flow of micropolar nanofluid between parallel porous plates with uniform blowing

2016

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The combine effect of nanoparticle and magnetic field on a micropolar fluid flow between two parallel coaxial porous plates with uniform blowing is investigated in this article. The two kinds of Nanoparticles, i.e. Copper Oxide (CuO) and Alumina (Al 2 O 3 ) are mixed with base fluid water to prepare the mixture of microplar nanofluid for the analysis of this problem. The convergence analysis of the numerical solutions is considered for large mesh size and high tolerance error. It is interesting to note that the skin friction coefficient at the lower plate increases with increasing the magnetic field for both CuO − water and Al 2 O 3 − water micro-polar nanofluid but it decreases with increases in volume fraction of nanoparticles in both the fluids. A novel result is found from this analysis that the rate of heat transfer at the lower plate increases with increasing the either magnetic parameter or micro-rotation parameter or the volume fraction of nanoparticles in the case of both fluids. The effects of magnetic field and micro-rotation parameter on the velocity, micro-rotation, temperature and concentration profiles are analyzed. The radial velocity profiles increase near the stagnation point but decreases near the plates by increasing the blowing parameter.

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Heat transfer for laminar flow through parallel porous disks of different permeability

Cited by 11 publications

References 6 publications

Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk

Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk

Numerical investigations of asymmetric flow of a micropolar fluid between two porous disks

MHD stagnation point flow of micropolar nanofluid between parallel porous plates with uniform blowing

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