Abstract

In this research article, we investigated a comprehensive analysis of time-dependent free convection electrically and thermally conducted water-based nanofluid flow containing Copper and Titanium oxide (Cu and ) past a moving porous vertical plate. A uniform transverse magnetic field is imposed perpendicular to the flow direction. Thermal radiation and heat sink terms are included in the energy equation. The governing equations of this flow consist of partial differential equations along with some initial and boundary conditions. The solution method of these flow interpreting equations comprised of two parts. Firstly, principal equations of flow are symmetrically transformed to a set of nonlinear coupled dimensionless partial differential equations using convenient dimensionless parameters. Secondly, the Laplace transformation technique is applied to those non-dimensional equations to get the close form exact solutions. The control of momentum and heat profile with respect to different associated parameters is analyzed thoroughly with the help of graphs. Fluid accelerates with increasing Grashof number (Gr) and porosity parameter (K), while increasing values of heat sink parameter (Q) and Prandtl number (Pr) drop the thermal profile. Moreover, velocity and thermal profile comparison for Cu and -based nanofluids is graphed.

Highlights

  • In recent times, nanotechnology is promptly influencing scientists and researchers for its significant role in industrial sciences

  • The above literature review is the motivation behind the main emphasis of this article which is to examine the influence of porous material and heat sink on unsteady, MHD natural convection flow of nanofluid past a moving infinite vertical plate

  • The non-linear thermal radiation term is linearized by Rosseland approximation

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Summary

Introduction

Nanotechnology is promptly influencing scientists and researchers for its significant role in industrial sciences. Mostafazadeh et al [14] examined the influence of radiation on free convective laminar flow of nanofluid in a vertical enclosure employing single and two-phase models Another significant factor for fluid flow is heat generation/absorption. Cavities filled with porous medium and fluid together are attracting the researchers and scientists This kind of cavities has wide environmental and industrial utilities named nuclear fuel cooling, solidification, solar collectors, thermal insulation and so many others. The above literature review is the motivation behind the main emphasis of this article which is to examine the influence of porous material and heat sink on unsteady, MHD natural convection flow of nanofluid past a moving infinite vertical plate. The influence of various pertinent parameters is illustrated through graphs

Statement of Problem
Analytical Solution of Problem
Numerical Case Studies
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Methods
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