Numerical investigation of transient thermal behaviour of fully wet and porous moving semi-spherical fin

Abstract

A variety of engineering applications demand efficient and adaptable fin structures for the intensification of heat exchange. The semi-spherical fin structures are useful in the field of refrigeration, chemical processing systems, aerospace etc. In this regard, the present article numerically investigates the transient thermal behaviour of a fully wetsemi-spherical fin.The study incorporates the Darcy model as the fin is made up of porous material. Further, the fin is exposed to convective-radiative heat exchange and is subject to uniform motion. The heat balance equation has been reduced to get a nonlinear partial differential equation (PDE) which is computed by employing the finite difference method (FDM). The dimensionless terms are grouped together and their influence on the temperature distribution in a semi-spherical fin is studied. Also, the instantaneous heat transfer rate and the transient fin efficiency have been modelled and their variations with relevant parameters have been graphically depicted. And these are found be strong functions of Peclet number, wet porous nature and dimensionless time. As a main outcome the semi-spherical fin efficiency is positively influenced by the Peclet number. Along with the fundamental point of interest the results presented benefit the fin designing purposes.

Semianalytical investigation on heat transfer in porous fins with temperature‐dependent thermal conductivity via the homotopy perturbation Sumudu transform approach

“…They endeavored to acquire accurate outcomes for the temperature and effectiveness of the scrutinized fin configurations. Keerthi et al 18 analyzed a semispherical fin to explore its thermal properties when exposed to movement in nonsteady circumstances. The thermal performance of moving porous fin wetted with hybrid nanofluids with different cross-sections in the presence of a magnetic field is investigated by Hosseinzadeh et al 19 Thermal distribution through a moving longitudinal trapezoidal fin with variable temperature-dependent thermal properties using DTM-Pade approximant was studied by Jayaprakash et al 20 The performance of heat dispersion in fins can be eminently dominated by the thermal conductivity which relies on the thermal condition of the materials used.…”

Heat transfer analysis of a convective radiative porous moving longitudinal fin exposed to magnetic field by Adomian decomposition sumudu transform method

“…An attempt was made by them to derive exact solutions for the temperature and efficiency of the considered fin structures. A hemispherical fin was considered by Keerthi et al [26] to investigate its thermal characteristics when subject to a motion under unsteady conditions. Fractional calculus has a wide range of applications in the fields of fluid mechanics, optics, biological population models, electromagnetics, signal processing, etc Miller and Ross [27] have discussed fractional calculus and the related differential equations in their work.…”

Impact of convective tip condition on the transient thermal behavior of wet porous convective radiative exponential profiled inclined longitudinal fin structures subject to heat generation

“…On the other hand, Mosayebidorcheh et al 35 examined the unsteady heat transport in distinct profiled circular fin structures by implementing a hybrid DTM‐finite difference approach (FDM) approach. Recently, Keerthi et al 36 investigated the efficiency of semispherical fins subject to wet and porous conditions under unsteady conditions. Motivated by the above‐mentioned works, the current article deals with the transient thermal analysis of inclined exponential profiled longitudinal fin structures subject to convective‐radiative heat exchange.…”

“…The initial and boundary conditions corresponding to the above energy equation are 36,37 Case 1: Insulated tip condition…”