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

Rasool Alizadeh

,
Rasool Alizadeh

Department of Mechanical Engineering,

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Quchan Branch,

Islamic Azad University,

Quchan, Iran

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Asghar B. Rahimi

,
Asghar B. Rahimi

Faculty of Engineering,

Ferdowsi University of Mashhad,

Mashhad, Iran

Ferdowsi University of Mashhad,

P.O. Box 91775-1111

,Mashhad, Iran

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Nader Karimi

,
Nader Karimi

1

Corresponding author.
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Ahmad Alizadeh

Ahmad Alizadeh

Young Researchers Club,

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Search for other works by this author on:

Rasool Alizadeh

Department of Mechanical Engineering,

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Asghar B. Rahimi

Faculty of Engineering,

Ferdowsi University of Mashhad,

Mashhad, Iran

Ferdowsi University of Mashhad,

P.O. Box 91775-1111

,Mashhad, Iran

Nader Karimi

Ahmad Alizadeh

Young Researchers Club,

Quchan Branch,

Islamic Azad University,

Quchan, Iran

Quchan Branch,

Islamic Azad University,

Quchan, Iran

1

Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received June 22, 2017; final manuscript received April 22, 2018; published online June 14, 2018. Assoc. Editor: Sandip Mazumder.

*J. Thermal Sci. Eng. Appl*. Oct 2018, 10(5): 051017 (13 pages)

**Published Online:**June 14, 2018

Article history

Received:

June 22, 2017

Revised:

April 22, 2018

Citation

Alizadeh, R., Rahimi, A. B., Karimi, N., and Alizadeh, A. (June 14, 2018). "Transient Analysis of the Interactions Between a Heat Transferring, Radial Stagnation Flow, and a Rotating Cylinder-Magnetohydrodynamic and Nonuniform Transpiration Effects." ASME. *J. Thermal Sci. Eng. Appl*. October 2018; 10(5): 051017. doi: https://doi.org/10.1115/1.4040363

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