MHD flow and heat transfer of micropolar fluid between two porous disks

Ashraf, Muhammad; Wehgal, A. R.

doi:10.1007/s10483-012-1533-6

Cited by 49 publications

(43 citation statements)

References 27 publications

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“…The Newton-Raphson algorithm and the shooting method are used to guess the conditions a 1 , a 2 , and a 3 in (22). Finally, the problem is integrated to obtain the boundary conditions at η = 0.…”

Section: Resultsmentioning

confidence: 99%

“…If the answers meet more than the significant digits, the step size is incremented. In each step the following six steps are required: 1 , a a and 3 a in equation (22). Finally the problem is integrated to obtain the boundary conditions at 0   .…”

Section: Numerical Solutionmentioning

confidence: 99%

“…Meraj, and A. Alsaedi rous medium along with heat and mass transfer were studied. Ashraf and Wehgal [22] solved the problem of MHD flow of micropolar fluid confined between two fixed porous disks with heat transfer characteristics. Shehzad et al [23] applied an analytical technique based on HAM to the problem of unsteady micropolar fluid and heat transfer influenced by a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

“…Using (17) into (8) (22). Finally the problem is integrated to obtain the boundary conditions at 0   .…”

mentioning

confidence: 99%

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MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf¹,

Shehzad²,

Hayat³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields. Many biological fluids, as well as the fluids that are used in industrial applications such as printer inks, animal blood, detergents, paint, food stuff, polymer liquids, etc. change their flow characteristics when subjected to applied shear stress, and thus differ from Newtonian fluids. These materials are called non-Newtonian fluids. Researchers have discussed several non-Newtonian fluid flow models such as Maxwell fluid, power law fluid, second or third grade fluid, etc. Eringen [17,18] introduced the theory of micropolar fluids for the first time. This theory deals with the intrinsic motion and local microstructure of the fluid particles and can be valuable when investigating the impact of polymer suspensions, colloidal solutions, biological and muddy fluids, etc. Furthermore, the impact of mass and heat transfer, combined with the impact of chemical reaction, has in the last few years been investigated with regard to possible applications in hydrometallurgical and chemical plants, including fruit-processing methods, freeze damage of crops, temperature distribution and growth of trees, and heat and mass transfer in cooling towers. Heat transfer due to surface convection and zero mass flux at a stretching/shrinking surface has gained significance in material dying, hot wiring, nuclear plants, transpiration process, production of glass fiber, heat exchangers, prevention of energy, etc.The numerical solution of the problem of MHD stagnation point flow of micropolar fluid towards a moving sheet was presented by Ashraf and Bashir [19]. The extension of the above problem was performed by Rashidi et al. [20]. They added the term of mixed convection to the problem, and solved it analytically. Rauf et al. [21] numerically analyzed the MHD flow of micropolar fluid over a stretchable disk. The effects of a po-

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Section: Resultsmentioning

confidence: 99%

Section: Numerical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Using (17) into (8) (22). Finally the problem is integrated to obtain the boundary conditions at 0   .…”

mentioning

confidence: 99%

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MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf¹,

Shehzad²,

Hayat³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…We use a similarity transformation to reduce the governing partial differential equations to a set of nonlinear coupled ordinary differential equations in the dimensionless form, which are numerically solved by employing an algorithm based on the quasi-linearization and finite difference discretization. The ease in obtaining the numerical solution using this technique makes it superior than the shooting like approach used in our earlier investigations (Ashraf et al, 2009;Ashraf and Wehgal (2012). The effects of the governing parameters on the flow and heat transfer aspects of the problem are discussed.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of unsteady water-based nanofluid flow and heat transfer between two orthogonally moving porous coaxial disks

Ali

Iqbal

Akbar

et al. 2014

jtam

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We present the numerical study of unsteady hydromagnetic (MHD) flow and heat transfer characteristics of a viscous incompressible electrically conducting water-based nanofluid (containing Al 2 O 3 nanoparticles) between two orthogonally moving porous coaxial disks with suction. Different from the classical shooting methodology, we employ a combination of a direct and an iterative method (SOR with optimal relaxation parameter) for solving the sparse systems of linear algebraic equations arising from the FD discretization of the linearized self similar nonlinear ODEs. Effects of the governing parameters on the flow and heat transfer are discussed and presented through tables and graphs. The findings of the present investigation may be beneficial for electronic industry in maintaining the electronic components under effective and safe operational conditions.

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First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids between Two Parallel Plates

Murthy

Jangili

2014

Heat Trans. Asian Res.

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This paper aims to analyze the heat transfer by the first and second laws of thermodynamics for the flow of two immiscible couple stress fluids inside a horizontal channel under the action of an imposed transverse magnetic field. The plates of the channel are maintained at constant and different temperatures higher than that of the fluid. The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. No slip condition is taken on the plates and continuity of velocity, vorticity, shear stress, couple stress, temperature, and heat flux are imposed at the interface. The velocity and temperature distributions are derived analytically and these are used to compute the dimensionless expressions for the entropy generation number and Bejan number. The results are presented graphically. It is observed that the imposed magnetic field reduces the entropy production rate near the plates.

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MHD flow and heat transfer of micropolar fluid between two porous disks

Cited by 49 publications

References 27 publications

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Numerical simulation of unsteady water-based nanofluid flow and heat transfer between two orthogonally moving porous coaxial disks

First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids between Two Parallel Plates

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