Magnetization for Burgers’ Fluid Subject to Convective Heating and Heterogeneous-Homogeneous Reactions

Author:

Gangadhar Kotha1,Kumari Manda Aruna1,Subba Rao M. Venkata2,Alnefaie Khaled3,Khan Ilyas4ORCID,Andualem Mulugeta5ORCID

Affiliation:

1. Department of Mathematics, Acharya Nagarjuna University Ongole Campus, Ongole, Andhra Pradesh 523001, India

2. Division of Mathematics, Department of Sciences and Humanities, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Andhra Pradesh 522 213, India

3. Department of Mechanical Engineering, College of Engineering, King Abdulaziz University, P.O. Box 80248, Jeddah 21589, Saudi Arabia

4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

5. Department of Mathematics, Bonga University, Bonga, Ethiopia

Abstract

The flow of Burgers’ fluid in the magnetic field new mathematical modeling is introduced in this article which is heated convectively and maintained. The thermal energy transport aspects are examined by employing the space- and temperature-related heat source. In the present investigation, the homogeneous-heterogeneous reactions will present the features of scrutiny of the fluid concentration. For the purpose of dimensionless similarity transformations, ordinary differential equations (ODEs) are utilized practically. Developed ODEs are solved by introducing the concepts of Runge–Kutta–Fehlberg’s fourth-fifth method. The graphs show the pertinent outcome. The relaxation time parameter is exhibited by diminishing the thermal distribution of Burgers’ fluid property, and this will depend on the relaxation time factor. Biot number and retardation time factor behaviors are analyzed by opposing the behavior of the material factor of Burgers’ fluid. The response of homogeneous strength is deteriorated by the concentration rate of the fluid, and this will augment the data using the heterogeneous response with greater magnitude. By using already published studies, it is investigated that the present investigation is validated.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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