Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder

Joneidi, A Amin Ahmadi; Domairry, G.; Babaelahi, Mojtaba; Mozaffari, Masoud

doi:10.1002/fld.2087

Cited by 27 publications

(10 citation statements)

References 32 publications

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“…We have compared our results with those in [6,8] for special cases of our study and we note that there is good agreement between the different numerical solutions. It is worth mentioning that the recent studies in [9,11] do not provide tables of the relevant boundary derivatives and this can be considered a shortcoming. Figures 2 and 3 show the variation in velocity profiles for varying values of the Reynolds number Re and magnetic parameter , respectively, for both the suction > 0 and injection < 0 cases.…”

Section: Resultsmentioning

confidence: 99%

Magnetohydrodynamic Stagnation Flow and Heat Transfer toward a Stretching Permeable Cylinder

Mastroberardino

Siddique

2014

Advances in Mechanical Engineering

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We perform an analysis of MHD flow and heat transfer on a stretching, permeable cylinder. We prove existence of solutions for all values of the relevant parameters and provide uniqueness results in the case of a monotonic solution. The nonlinear boundary value problem that is derived from a similarity transformation of the governing system of nonlinear partial differential equations is solved numerically and the results are presented with graphs and tables.

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Section: Resultsmentioning

confidence: 99%

Magnetohydrodynamic Stagnation Flow and Heat Transfer toward a Stretching Permeable Cylinder

Mastroberardino

Siddique

2014

Advances in Mechanical Engineering

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“…Most recently, Butt and Ali [36] included the effects of entropy generation in this problem. Chauhan et al [37] generalised the results of Joneidi et al [35] by considering the cylinder to be embedded in a porous medium along with a partial slip boundary condition. Munawar et al [38] examined the unsteady flow and heat transfer due to a stretching cylinder and implemented two general types of thermal boundary conditions.…”

Section: -Introductionmentioning

confidence: 98%

“…Joneidi et al [35] employed homotopy analysis and developed a solution for MHD and heat transfer for stretching cylinder. Most recently, Butt and Ali [36] included the effects of entropy generation in this problem.…”

Section: -Introductionmentioning

confidence: 99%

Transient Analysis of the Interactions Between a Heat Transferring, Radial Stagnation Flow, and a Rotating Cylinder-Magnetohydrodynamic and Nonuniform Transpiration Effects

Alizadeh

Rahimi

Karimi

et al. 2018

Journal of Thermal Science and Engineering Applications

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This paper aims at providing further understanding on the fluid flow and heat transfer processes in unsteady rotating systems with mass transpiration. Such systems can be found in chemical separators, hydraulic systems, and printing devices. To this end, an unsteady viscous flow in the vicinity of an unaxisymmetric stagnation-point on a rotating cylinder is examined. The nonuniform transpiration and a transverse magnetic field are further considered. The angular speed of the cylinder and the thermal boundary conditions are expressed by time-dependent functions. A reduction of the Navier–Stokes and energy equations is obtained through using appropriate similarity transformations. The semisimilar solution of the Navier–Stokes equations and energy equation are developed numerically using an implicit finite difference scheme. Pertinent parameters including the Reynolds number and magnetic parameter and transpiration function are subsequently varied systematically. It is shown that the transpiration function can significantly affect the thermal and hydrodynamic behaviors of the system. In keeping with the findings in other areas of magnetohydrodynamics (MHD), the results show that the applied magnetic field has modest effects on the Nusselt number. However, it is demonstrated that the magnetic effects can significantly increase the imposed shear stress on the surface of the rotating cylinder.

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“…Domairry and Nadim,20 Nadeem et al ,21 Abbasbandy22 and Ziabakhsh et al 23–24 and others25–33 have successfully applied HAM in solving different types of nonlinear problems i.e. coupled, decoupled, homogeneous and nonhomogeneous equations arising in different physical problems such as heat transfer, fluid flow, oscillatory systems, etc.…”

Section: Introductionmentioning

confidence: 99%

New applications of approximate methods in fluid mechanics

Ziabakhsh

Domairry

Domiri

et al. 2011

Asia-Pacific J Chem Eng

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In this paper, we have modeled boundary layer flows induced by continuous stretched surfaces by implementing one of the newest analytical methods of solving nonlinear differential equations called homotopy analysis method (HAM), which gives us a vast freedom to choose the answer type. We have used an iterating analytical method to cope with the nonlinearity. A new adapting boundary condition is proposed in this work that is based on an initial guess and then it is developed to the solution expression. The analytic results are compared with the numerical solution (NS) and the comparison reveals that a good agreement exists between the NS and HAM solution. Also the convergence of the obtained HAM solution is discussed explicitly. The obtained approximate solutions are valid for all values of the dimensionless parameter β, as it is shown later in the paper. 

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Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder

Cited by 27 publications

References 32 publications

Magnetohydrodynamic Stagnation Flow and Heat Transfer toward a Stretching Permeable Cylinder

Magnetohydrodynamic Stagnation Flow and Heat Transfer toward a Stretching Permeable Cylinder

Transient Analysis of the Interactions Between a Heat Transferring, Radial Stagnation Flow, and a Rotating Cylinder-Magnetohydrodynamic and Nonuniform Transpiration Effects

New applications of approximate methods in fluid mechanics

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