Abstract

The unsteady three dimensional boundary layer flow near a stagnation point region is studied numerically under the influence of microgravity environment. The boundary layer plate was embedded by the nanofluid with nanosized copper particles and water as a based fluid together with thermal radiation effect. The problem was mathematically formulated in term of coupled governing equations consisting of continuity, momentum and energy equations derived from the fundamental physical principles with Tiwari and Das nanofluid model. Boundary layer and Boussinesq approximation were then applied to the coupled equations and then reduced into non-dimensional equations to lessen the complexity of the problem using semi-similar transformation technique. Implicit finite different method known as Keller box method was used in this problem. The problem was then analyzed in terms of physical quantities of principal interest known as skin frictions and Nusselt number which explained the flow behavior and heat transfer analysis. From the outcome of the analysis, it was found that the parameter values for curvature ratio lead to the different cases of the stagnation point flow which is either plane stagnation flow or asymmetry stagnation flow. On the other hand, by increasing the nanoparticles volume fraction which is one of the nanofluid parameter may increase the skin frictions on both x- and y- directions. The presence of thermal radiation parameter was found to have increased the rate of change of heat transfer at the boundary layer flow.

Highlights

  • A part of fluid dynamic discipline which is concerned with the mechanic of the fluid and the extended force on them; boundary layer flow is a slice of bigger picture which studies transportation phenomena happen to the flow such as flow behavior, heat transfer and concentration distribution

  • The nanofluid model used in this study is proposed by Tiwari and Das [22] and effects such as g-jitter and thermal radiation that is considered with boundary layer flow is studied near a three-dimensional stagnation point region

  • The system of non-dimensional partial differential equations (12)-(14) together with boundary equations (15) are solved numerically using implicit finite different methods known as Keller box method which is firstly developed by Keller [32]

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Summary

Introduction

A part of fluid dynamic discipline which is concerned with the mechanic of the fluid and the extended force on them; boundary layer flow is a slice of bigger picture which studies transportation phenomena happen to the flow such as flow behavior, heat transfer and concentration distribution. For the case of heat and mass transfer, Pal [18] analyses two-dimensional stagnation point flow of an incompressible viscous fluid over a stretching vertical sheet in the presence of buoyancy force and thermal radiation. As for the nanofluid with g-jitter effect, Rawi et al [29] studies the unsteady two-dimensional convective boundary layer flow of nanofluids past a vertical permeable stretching sheet associated with the effect of g-jitter Based on this motivation, a part of the present work focusses on the conjugate study of a flow and heat transfer with several physical effects. The nanofluid model used in this study is proposed by Tiwari and Das [22] and effects such as g-jitter and thermal radiation that is considered with boundary layer flow is studied near a three-dimensional stagnation point region. The mathematical model is solved using Keller box method and the effects considered in this problem will be analyzed in terms of skin frictions and Nusselt number graphically

Mathematical Formulations
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