The steady, viscous flow and mixed convection heat transfer of an incompressible electrically conducting fluid within a vertical cylindrical annulus with moving walls are investigated. This annulus is under the influence of a radial magnetic field and the fluid is suctioned/injected through the cylinders' walls. An exact solution of the Navier–Stokes equations and energy equation is derived in this problem where heat is transferred from the hot cylinder walls with constant temperature to the cooler moving fluid. The role of the movement of the annulus walls is studied on the flow and heat transfer of the fluid within the annulus, for the first time. The effects of other parameters, including Prandtl number, Hartman number, mixed convection parameter, suction/injection parameter and ratio of the radius, on the behavior of the flow and heat transfer of the fluid is also considered. The results indicate that if, for example, the internal cylinder wall moves in the direction of z-axis and the external cylinder is stationary, the maximum and minimum heat transfer occur on the walls of internal and external cylinders, respectively. Moreover, the augmentation of the radius ratio between the two cylinders increases the rate of heat transfer and decreases the shear stress on the wall of the internal and external cylinders, however, the results on the wall of external cylinder are exactly the reverse. Consequently, by changing the effective parameters used in this paper, the flow of the fluid can be controlled and the heat transfer of the fluid can be improved.
Skip Nav Destination
Article navigation
August 2019
Research-Article
Mixed Convective Flow of Electrically Conducting Fluid in a Vertical Cylindrical Annulus With Moving Walls Adjacent to a Radial Magnetic Field Along With Transpiration
Ali Shakiba,
Ali Shakiba
Department of Mechanical Engineering,
Ferdowsi University of Mashhad,
Mashhad 1111, Iran
Ferdowsi University of Mashhad,
Mashhad 1111, Iran
Search for other works by this author on:
Asghar B. Rahimi
Asghar B. Rahimi
Professor
Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111,
Mashhad 1111, Iran,
e-mail: rahimiab@yahoo.com
Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111,
Mashhad 1111, Iran,
e-mail: rahimiab@yahoo.com
Search for other works by this author on:
Ali Shakiba
Department of Mechanical Engineering,
Ferdowsi University of Mashhad,
Mashhad 1111, Iran
Ferdowsi University of Mashhad,
Mashhad 1111, Iran
Asghar B. Rahimi
Professor
Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111,
Mashhad 1111, Iran,
e-mail: rahimiab@yahoo.com
Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111,
Mashhad 1111, Iran,
e-mail: rahimiab@yahoo.com
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 11, 2018; final manuscript received January 17, 2019; published online March 4, 2019. Assoc. Editor: Nazmul Islam.
J. Fluids Eng. Aug 2019, 141(8): 081111 (11 pages)
Published Online: March 4, 2019
Article history
Received:
October 11, 2018
Revised:
January 17, 2019
Citation
Shakiba, A., and Rahimi, A. B. (March 4, 2019). "Mixed Convective Flow of Electrically Conducting Fluid in a Vertical Cylindrical Annulus With Moving Walls Adjacent to a Radial Magnetic Field Along With Transpiration." ASME. J. Fluids Eng. August 2019; 141(8): 081111. https://doi.org/10.1115/1.4042563
Download citation file:
Get Email Alerts
Cited By
Related Articles
Transport Phenomena of Developing Laminar Mixed Convection in Inclined Rectangular Ducts With Wall Transpiration
J. Heat Transfer (August,2001)
Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer (June,2016)
Related Proceedings Papers
Related Chapters
Mixed-Up Convection
Hot Air Rises and Heat Sinks: Everything You Know about Cooling Electronics Is Wrong
Natural and Mixed Convection
Thermal Management of Microelectronic Equipment
Natural and Mixed Convection
Thermal Management of Microelectronic Equipment, Second Edition