The Consequences of Thermal Radiation and Chemical Reactions on Magneto-hydrodynamics in Two Dimensions Over a Stretching Sheet with Jeffrey Fluid.

Abstract

In this research paper, the Homotopy Analysis Method is used to investigate the twodimensional electrical conduction of a magneto-hydrodynamic (MHD) Jeffrey Fluid across a stretching sheet under various conditions, such as when electrical current and temperature are both present, and when heat is added in the presence of a chemical reaction or thermal radiation. Applying similarity transformation, the governing partial differential equation is transformed into terms of nonlinear coupled ordinary differential equations. The Homotopy Analysis Method is used to solve a system of ordinary differential equations. The impact of different numerical values on velocity, concentration, and temperature is examined and presented in tables and graphs. The fluid velocity reduces as the retardation time parameter(2) grows, while the fluid velocity inside the boundary layer increases as the Deborah number () increases. The velocity profiles decrease when the magnetic parameter M is increased. The results of this study are entirely compatible with those of a viscous fluid. The Homotopy Analysis Method calculations have been carried out on the PARAM Shavak high-performance computing (HPC) machine using the BVPh2.0 Mathematica tool.

Liquid Coating with Variable Thermal Conductivity on a Pipe under Influence of Thermal Radiation and Heat Generation

“…Equation ( 9) is subjected to boundary conditions as (10) The Rosseland approximation is applied to approximate the derivative of the thermal radiation. Following [28,31,39,40], we have (11) Where 𝜎 * defines the Stefan-Boltzmann constant and the mean absorption coefficient is denoted by 𝑘 * . Substitutes Equation (11) into Equation ( 9), thus obtaining (12) In the range between -17.78°C to 204.444°C, the thermal conductivity is linearly proportional to the temperature and can be assumed as 𝛼 = 𝛼 # (1 + 𝜀𝜃) [30,32,34].…”

Carboxymethyl Cellulose Based Second Grade Nanofluid around a Horizontal Circular Cylinder

“…The nanoparticles are suspended in the second-grade fluid to get around this restriction. Many researchers have recently utilised the flow of second-grade nanofluid over Riga plate [3,4], exponentially stretched surfaces [5,6], stretched cylinders [7] and stretched surfaces [8][9][10] under a variety of physical conditions, including nonlinear thermal radiation, activation energy, mixed convection, magnetic fields, slip boundary conditions, Soret and Dufour effects, homogeneous-heterogeneous reactions, and many more [11][12][13][14].…”