## THERMAL SCIENCE

International Scientific Journal

### MULTI-RELAXATION-TIME LATTICE BOLTZMAN MODEL FOR UNIFORM-SHEAR FLOW OVER A ROTATING CIRCULAR CYLINDER

**ABSTRACT**

A numerical investigation of the two-dimensional laminar flow and heat transfer a rotating circular cylinder with uniform planar shear, where the free-stream velocity varies linearly across the cylinder using Multi-Relaxation-Time Lattice Boltzmann method is conducted. The effects of variation of Reynolds number, rotational speed ratio at shear rate 0.1, blockage ratio 0.1 and Prandtl number 0.71 are studied. The Reynolds number changing from 50 to 160 for three rotational speed ratios of 0, 0.5, 1 is investigated. Results show that flow and heat transfer depends significantly on the rotational speed ratio as well as the Reynolds number. The effect of Reynolds number on the vortex-shedding frequency and period-surface Nusselt numbers is overall very strong compared with rotational speed ratio. Flow and heat conditions characteristics such as lift and drag coefficients, Strouhal number and Nusselt numbers are studied.

**KEYWORDS**

PAPER SUBMITTED: 2010-08-27

PAPER REVISED: 2010-11-18

PAPER ACCEPTED: 2010-10-27

**THERMAL SCIENCE** YEAR

**2011**, VOLUME

**15**, ISSUE

**3**, PAGES [859 - 878]

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