# Heat Transfer Essay

1,2,3Asst. Professor, Mechanical Department, CCET, Bhilai, Chhattisgarh, India,

1ashoknitt14@gmail.com, Contact No.: 7049883097

2sdewangan1982@gmail.com, Contact No.: 7415539767

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Abstract

This numerical investigation devoted to convective heat transfer occurs on rotating circular cylinder in transient laminar flow regimes. The finite volume method technique with implicit pressure based model used and Navier-Stroke equation as governing equation. The numerical investigation predict the effect of

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Energy Equation, (3)

Where u and v are velocity component along the x and y directions of a Cartesian coordinate system respectively, t is the time, p is the pressure, Re (= ρU∞d/μ) is the Reynolds number, Pr (= μCp/k) is the Prandtl number, T is the temperature, d is the diameter of cylinder, k is the thermal conductivity of fluid, Cp is the heat capacity of fluid, ρ is the density of fluid, μ is the dynamic viscosity of fluid and U∞ is the free stream velocity of fluid.

Lift and Drag coefficients are expressed as following: (4a) (4b)

The lift and drag coefficients are combine effect of viscous and pressure coefficient. where CLV and CLP are viscous lift and pressure lift coefficient respectively and CDV and CDP are viscous drag and pressure drag coefficient respectively. Subscript s used for cylinder surface. (5a) (5b) (5c) (5d)

The surface average nusselt number can be evaluated as follows: (6)

Where Nuθ (=hθd/k) local Nusselt number on cylinder surface and θ is angular position on cylinder