Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v40.i1.60
pages 71-90

Unconfined Flow and Heat Transfer around a Square Cylinder at Low Reynolds and Hartmann Numbers

Dipankar Chatterjee
Academy of Scientific and Innovative Research (AcSIR), CSIR-Central Mechanical Engineering Research Institute, Durgapur-713209, India; Advanced Design and Analysis Group, CSIR-Central Mechanical Engineering Research Institute Durgapur-713209, India
Kanchan Chatterjee
Department of Mechanical Engineering, Dr. B. C. Roy Engineering College, Durgapur, India

ABSTRACT

The forced convection heat transfer is analyzed through a two-dimensional numerical simulation following a finite volume approach for the hydromagnetic flow around a square cylinder at low Reynolds numbers. The cylinder is placed in an unconfined medium and acted upon by the magnetohydrodynamic (MHD) flow of a viscous incompressible and electrically conductive fluid. The magnetic field is applied either along the streamwise or transverse directions. Fictitious confining boundaries are considered on the lateral sides of the simulation domain to make the problem computationally feasible. The simulation is carried out for the range of Reynolds number 10 ≤ Re ≤ 50 with Hartmann number 0 ≤ Ha ≤ 10 and with a fixed Prandtl number, Pr = 0.02 (liquid metal) and a blockage parameter, β = d/H = 5%. The flow is steady and stable for the above range of conditions. The magnetic field provides additional stability to the flow as a result of which the wake region behind the cylinder reduces with increasing magnetic field strength at any Reynolds number. The critical magnetic field strength is also computed for which the separation is completely suppressed for the Reynolds number range in case of transversely applied magnetic field. The rate of heat transfer is found almost invariant at low Reynolds number whereas it increases slightly for higher Reynolds number with the applied magnetic field. The heat transfer increases as usual with the Reynolds number for all Hartmann numbers.


Articles with similar content:

3D Numerical Simulation of Buoyancy Driven Flow in a Cubical Enclosure with Different Wall Conductivities
International Heat Transfer Conference 15, Vol.39, 2014, issue
Praveen Throvagunta, Narendra Gajbhiye, Vinayak Eswaran
NUMERICAL SIMULATIONS OF MHD FLUID FLOW AND HEAT TRANSFER IN A LID-DRIVEN CAVITY AT HIGH HARTMANN NUMBERS
Heat Transfer Research, Vol.43, 2012, issue 5
Dipin Kalapurakal , Abhilash Chandy
Two-Dimensional Laminar Free Convection in the Cavity Having a Shape of a Square with Rounded-off Corners
Heat Transfer Research, Vol.33, 2002, issue 5&6
G. V. Makhnova, Evgueni M. Smirnov, Vladimir V. Ris
THERMO-FLUID DYNAMIC STUDY OF THE MHD FLOW AROUND A CYLINDER IN CASE OF BOUNDING WALLS WITH NON-UNIFORM ELECTRICAL CONDUCTIVITY
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2017, issue
Alessandro Tassone, Matteo Nobili, Gianfranco Caruso
EFFECT OF MHD ON RAYLEIGH-BENARD CONVECTION
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017), Vol.0, 2017, issue
Ranjit J. Singh, Trushar Gohil