Natural Convection Flow over a Vertical Permeable Circular Cone with Uniform Surface Heat Flux in Temperature-Dependent Viscosity with Three-Fold Solutions within the Boundary Layer

• DOI: 10.3390/computation10040060
• Publication Date: 2022-04-09T09:13:08Z
• Authors: Md Farhad Hasan; Md. Mamun Molla; Md. Kamrujjaman; Sadia Siddiqa
• Keywords: Film temperature

The aim of this study is to investigate the effects temperature-dependent viscosity on natural convection flow from a vertical permeable circular cone with uniform heat flux. As part numerical computation, governing boundary layer equations are transformed into non-dimensional form. resulting nonlinear system partial differential then reduced local non-similarity which solved computationally by three different solution methodologies, namely, (i) perturbation for small transpiration parameter (ξ), (ii) asymptotic large ξ, and (iii) implicit finite difference method together Keller box scheme all ξ. results velocity profiles fluid displayed graphically transfer characteristics. shearing stress in terms skin-friction coefficient rate Nusselt number (Nu) given tabular form (ε) Prandtl (Pr). linear function temperature valid numbers three-fold solutions were compared as validations various ranges Pr numbers. Overall, good agreements established. major finding research provides better demonstration how affects convective flow. It was found that increasing Pr, ε decrease coefficient, but ξ has more influence transfer, effect erratic at Furthermore, variable increased maxima extents, particularly low distribution be less significant under same condition. However, fixed observed influenced whereas dominated significantly regardless variation ε. through act evidence accuracy versatility current approach.