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RESEARCH PAPERS: Natural and Mixed Convection

# Unsteady Mixed Convection From a Moving Vertical Slender Cylinder

[+] Author and Article Information
S. Roy

Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036 Indiasjroy@iitm.ac.in

D. Anilkumar

Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036 Indiaanil@iitm.ac.in

J. Heat Transfer 128(4), 368-373 (Nov 22, 2005) (6 pages) doi:10.1115/1.2165206 History: Received August 18, 2004; Revised November 22, 2005

## Abstract

A general analysis has been developed to study flow and heat transfer characteristics of an unsteady laminar mixed convection on a continuously moving vertical slender cylinder with surface mass transfer, where the slender cylinder is inline with the flow. The unsteadiness is introduced by the time-dependent velocity of the slender cylinder as well as that of the free stream. The calculations of momentum and heat transfer on slender cylinders considered the transverse curvature effect, especially in applications such as wire and fiber drawing, where accurate predictions are required. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a nonsimilar transformation, and the resulting system of nonlinear coupled partial differential equations is then solved by an implicit finite difference scheme in combination with the quasi-linearization technique. Numerical results are presented for the skin friction coefficient and Nusselt number. The effects of various parameters on the velocity and temperature profiles are also reported here.

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## Figures

Figure 1

Physical model and coordinate system

Figure 2

Effects of λ and Pr on F and G for ϕ(t*)=1+ϵt2,ϵ=0.5 when Ec=0.1, α2=1, ξ=0.5, and A=0

Figure 3

Effect of ξ on F and G for ϕ(t*)=1+ϵt2,ϵ=0.5 when λ=1, Pr=0.7,Ec=0.1, α2=1, and A=0

Figure 4

Effects of λ and ξ on Rex1∕2Cf and Rex−1∕2Nu for ϕ(t*)=1+ϵt2, ϵ=0.5 when Pr=0.7, Ec=0.1, α2=1, and A=0

Figure 5

Effects of A and α2 on Rex1∕2Cf and Rex−1∕2Nu for ϕ(t*)=1+ϵt2,ϵ=0.5 when λ=1, Pr=0.7, and Ec=0.1

Figure 6

Effects of A and α2 on F for ϕ(t*)=1+ϵt2, ϵ=0.5 when λ=1, Pr=0.7,ξ=0.5, and Ec=0.1

Figure 7

Effect of Pr on Rex1∕2Cf and Rex−1∕2Nu for ϕ(t*)=1+ϵt2, ϵ=0.5 and ϵ=−0.5 when λ=1, Ec=0.1, α2=1, A=0, and ξ=0.5

Figure 8

Effect of Ec on Rex1∕2Cf and Rex−1∕2Nu for ϕ(t*)=1+ϵt2, ϵ=0.5 and ϵ=−0.5 when λ=1, Pr=0.7, α2=1, A=0, and ξ=0.5

Figure 9

Effects of Pr and Ec on G for ϕ(t*)=1+ϵt2, ϵ=0.5 when λ=1, A=0, α2=1, and ξ=1.0

## Errata

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