Mathematical modeling of Newtonian/non‐Newtonian fluids in a double‐diffusive convective flow over a vertical wall

Author:

Chandan K. G.1,Patil Mallikarjun B.1,Mahabaleshwar U. S.2,Souayeh Basma34ORCID

Affiliation:

1. Department of Studies and Research in Mathematics Tumkur University Tumakuru Karnataka State India

2. Department of Studies and Research in Mathematics Davangere University Davanagere Karnataka State India

3. Department of Physics, College of Science King Faisal University Al‐Ahsa Saudi Arabia

4. Laboratory of Fluid Mechanics, Physics Department, Faculty of Sciences of Tunis University of Tunis El Manar Tunis Tunisia

Abstract

AbstractThis study implements the comparative study of Casson and Williamson nanofluids by considering the impacts of linear thermal radiation and inclined magnetohydrodynamics. Here, we employ graphs to compare the variables affecting the behavior of non‐Newtonian and Newtonian fluids for a range of physical and dimensionless parameter values. The flow's coupled equations, which contain multiple independent variables, these equations can then be changed into a single independent variable by adding similarity variables and can be solved by applying the shooting method. The effects of thermomigration and Brownian motion on nonlinear flow equations are graphically examined. For an array of radiation parameter values, we have observed that the Newtonian fluid's concentration is lesser than that of both the non‐Newtonian fluids and also noticed that Newtonian fluids converge a little sooner than Casson and Williamson fluids. The primary innovation is shown in Table 1, where the mass transfer and heat transfer values are contrasted with the limiting circumstances of previous research findings that are documented in the literature.

Publisher

Wiley

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