Conjugate Transient Free Convective Heat Transfer from a Vertical Slender Hollow Cylinder with Heat Generation Effect

Abstract

Numerical analysis is performed to study the conjugate heat transfer and heat generation effects on the transient free convective boundary layer flow over a vertical slender hollow circular cylinder with the inner surface at a constant temperature. A set of non-dimensional governing equations namely, the continuity, momentum and energy equations is derived and these equations are unsteady non-linear and coupled. As there is no analytical or direct numerical method available to solve these equations, they are solved using the CFD techniques. An unconditionally stable Crank-Nicolson type of implicit finite difference scheme is employed to obtain the discretized forms of the governing equations. The discretized equations are solved using the tridiagonal algorithm. Numerical results for the transient velocity and temperature profiles, average skin-friction coefficient and average Nusselt number are shown graphically. In all these profiles it is observed that the time required to reach the steady-state increases as the conjugate-conduction parameter or heat generation parameter increases.

Buoyancy driven flow of a couple stress fluid from an isothermal vertical plate: the role of spatially periodic magnetic field

“…Since the magnetic parameter Ha is defined as the ratio of magnetic force to viscous force, Ha=0 relates to the hydrodynamic flow and Ha>0 signifies the hydromagnetic flow condition. It may be mentioned here that the chosen values are conforming to those as reported in the literature [37,44] and typical to set-up considered in this study.…”

“…With the assumption of negligible consequences of viscous dissipation, the governing flow-field equations for couple stress fluid can be written as [43,44]: Continuity equation:…”

“…We focus prime attention to investigate the impact of the magnetic field parameter Ha and couple stress fluid parameter η, on the flow dynamics and its eventual impact on the thermal transport of heat. It is worth mentioning here that the magnetic parameter Ha varies from 0.2 to 2.0 [37] and couple stress fluid parameter η ranges from 0.2 to 1.0 [44]. Since the magnetic parameter Ha is defined as the ratio of magnetic force to viscous force, Ha=0 relates to the hydrodynamic flow and Ha>0 signifies the hydromagnetic flow condition.…”

Conjugate Mixed Convection of a Micropolar Fluid Over a Vertical Hollow Circular Cylinder

“…Jilani et al [1] conducted a numerical investigation using a finite-difference scheme to study heat transfer via combined forced convection as well as conduction on a vertically oriented cylinder with internal heat generation. Rani and Reddy [2] conducted a numerical study of combined effects of heat transfer and heat generation amid unsteady natural convection boundary layer movement around a vertically elongated, cylindrical shape with a hollow center. The study involves deriving and solving a set of non-dimensional governing equations using computational fluid dynamics (CFD) techniques.…”