Heat Transfer Past a Rotationally Oscillating Circular Cylinder in Linear Shear Flow

Author:

Kumar Atendra1,Ray Rajendra K.2,Mittal H. V. R.3

Affiliation:

1. Department of Mathematics, National Institute of Technology Srinagar, Hazratbal, Srinagar 190006, India; Department of Computational and Data Sciences, Indian Institute of Science Bangalore, Bangalore 560012, India

2. School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, Mandi 175005, India

3. Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia; Department of Mathematics, Indian Institute of Technology Palakkad, Ahalia Integrated Campus, Kozhippara, Palakkad 678557, India

Abstract

Abstract This study investigates the unsteady, two-dimensional flow and heat transfer past a rotationally oscillating circular cylinder in linear shear flow. A higher order compact (HOC) finite difference scheme is used to solve the governing Navier–Stokes equations coupled with the energy equation on a nonuniform grid in polar coordinates. The hydrodynamic and thermal features of the flow are mainly influenced by the shear rate (K), Reynolds number (Re), Prandtl number (Pr), and the cylinder oscillation parameters, i.e., oscillation amplitude (αm), the frequency ratio (fr). The simulations are performed for Re=100,Pr=0.5−1.0, 0.0≤K≤0.15, and 0.5≤αm≤2.0. The numerical scheme is validated with the existing literature studies. Partial and full vortex suppression is observed for certain values of shear parameter K. The connection between heat transfer and vortex shedding phenomenon is examined where a pronounced increase in the heat transfer is observed for certain values of oscillation parameter, relative to the nonshear flow case.

Funder

University Grants Commission

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference60 articles.

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