Abstract
The problem is considered on mixed convection flow due to the effect of small amplitude oscillations of a viscous incompressible fluid along a horizontal circular cylinder. Direct implicit finite-difference scheme is employed to solve the dimensionless system of partial differential equations. In case of steady flow, the solutions are presented as functions of the curvature parameter X on the entire surface of the cylinder and there is a visual comparison with the existing result. For fluctuating flow, considering Prandtl number, Pr=1.0, the results are shown graphically in terms of amplitude and phase of the Nusselt number for different values of buoyancy parameter Lambda. Due to the effect of Lambda and frequency parameter omega, streamlines and isotherms as well as transient shear stress and heat transfer are illustrated in the interplay of study.
Highlights
The problem is considered on mixed convection flow due to the effect of small amplitude oscillations of a viscous incompressible fluid along a horizontal circular cylinder
In the presence of a boundary layer, the theoretical analysis on mixed convection flow around solid bodies was investigated by Acrivos (1966) for values of the local Nusselt number in the limit of the Prandtl number Pr→ 0 or Pr→ ∞
Merkin (1977) considered that the stream is flowing in the upward direction; the flow regime was discussed with respect to the dimensionless parameter λ, say the Richardson number α = gβ∆T a/U02 = Gr/Re2, where U0 is the free stream velocity
Summary
The problem is considered on mixed convection flow due to the effect of small amplitude oscillations of a viscous incompressible fluid along a horizontal circular cylinder. On a horizontal circular cylinder, a mixed convection boundary layer problem was considered by Hossain, Kutubuddin and Pop (1999) They studied the effect of radiation-conduction interaction when the temperature is constant. Hossain, Kamrujjaman, and Gorla (2009) dealt with the problems encountered in the viscous incompressible fluid flow field at the free convection flow along a long horizontal cylinder when the temperature of the body is oscillating. The flow patterns in terms of streamlines and isotherms as well as transient shear stress and heat transfer has been shown graphically with effect of the frequency of oscillation, ω, amplitude of oscillation, ε, different values of the mixed convection parameter λ while the Prandtl number is unique
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