MHD nanofluid flow with variable physical parameters via thermal radiation: A numerical study

Abstract

Objective: The objective of the current study is to deal with magnetohydrodynamic (MHD) nanoliquid flow over moving vertical plate with variable Prandtl numbers and viscosities. This analysis also includes the influence of thermal radiation. Quite significant variation in viscosity and Prandtl number in highrange temperature is observed. Thus, Prandtl number and viscosity are surmised to vary as an inversely proportional linear function of temperature. Problem definition: The MHD nanoliquid flow is considered along with the semi-infinite plate with the velocity U w toward the x-direction, which is also the direction for free-stream velocity ∞ U (). The geometrical sketch of the physical problem with the coordinate system is shown in Figure 1. The coordinate system has two coordinate axes: the ξ-coordinate (x) and η-coordinate (y). They are perpendicular to each other. The mathematical modeling of physical problem has been formulated by incorporating viscous terms into the governing equation related to thermal radiation, buoyant force, Brownian motion, thermophoresis, and magnetic parameter. Methodology: The mathematical modeling of current physical problem consists of highly nonlinear partial differential equations which have been solved numerically using quasilinearization technique along

A computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects

“…, and C 2 are the best approximations of water and the numerical data presented. 30,31 The boundary layer equations are obtained in an analogical manner. 28,29 The x-axis is taken vertically upward along the plate and the y-axis is taken normal to the plate (see Figure 1).…”

“…The fluid at the surface is kept at a constant temperature $${T}_{{\rm{w}}}$$, and the boundary layer's edge is kept at the same temperature $${T}_{\infty }$$. The variable Prandtl number and variable viscosity are defined as $$Pr=\frac{1}{{C}_{1}+{C}_{2}T}$$ and $$\mu =\frac{1}{{b}_{1}+{b}_{2}T}$$, where $${b}_{1},{b}_{2},{C}_{1}$$, and $${C}_{2}$$ are the best approximations of water and the numerical data presented 30,31 . The boundary layer equations are obtained in an analogical manner 28,29 .…”

Solution of Water and Sodium Alginate-Based Casson Type Hybrid Nanofluid with Slip and Sinusoidal Heat Conditions: A Prabhakar Fractional Derivative Approach

“…Singh et al [7] used the quasi-linearization method with an implicit finite difference technique to study the mixed convection flow along a vertical plate. Govindaraj et al [8] discussed the MHD NF flow over an accelerated vertical plate with different viscosity values and Prandtl numbers. Gnanaprasanna et al [9] numerically examined a mathematical flow model of Casson NF over a flat plate.…”

Surveying the hybrid of radiation and magnetic parameters on Maxwell liquid with TiO2 nanotube influence of different blades

“…It is a novel subject that is utilized in the aerospace industry. In addition, MHD is one of the procedures that can influence heat and flow on a stretching surface 1–21 . Titanium dioxide, too known as titanium (IV) oxide or titania, is the noted oxide of titanium, chemical equation TiO 2 .…”