Bidirectional radiative transport of magnetic Maxwell nanofluid mobilized by Arrhenius energy and prescribed thermal/concentration conditions: Significance of Ludwig-Soret and pedesis effects

Abstract

Prescribed thermal/concentration conditions features for bidirectional radiative transport of magnetic Maxwell nanofluid with Ludwig-Soret and pedesis effects are discussed. Arrhenius function is also used to include the combined effects of a chemical reaction and activation energy in the concentration equation. Appropriate similarity variables are employed to link transport equations to a system of highly nonlinear ODEs. The numerical solution is then presented for transformed equations via Runge-Kutta Fehlberg (RKF) scheme. This suggested model has several benefits in the stochastic process, stellar dynamics, Wiener procedure, image processing, nanoparticles tracking analysis, aerosol mixtures, vacuum deposition practices, ternary mixtures, etc. A comparison is also established with published findings under limited situations, and results are found acceptable. An in-depth review of the relevant literature is presented and the outcomes of the investigation are discussed graphically. Patterns of streamlines and isotherms are also illustrated. The growing parameters of Ludwig-Soret ( 0.1 ≤ N t ≤ 0.4 ) and activation energy ( 0.0 ≤ E a ≤ 3.0 ) facilitate concentration curves with reverse parametric effect of pedesis motion ( 0.2 ≤ N b ≤ 0.5 ) , Schmidt number ( 0.6 ≤ S c ≤ 1.2 ) and chemical reaction ( 0.0 ≤ γ ≤ 1.0 ) .