Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Umair Khan; A Zaib; Dumitru Baleanu; M Sheikholeslami; Abderrahim Wakif

doi:10.1016/j.heliyon.2020.e04565

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Heliyon. 2020 Jul 29;6(7):e04565. doi: 10.1016/j.heliyon.2020.e04565. eCollection 2020 Jul.

Authors

Umair Khan¹, A Zaib², Dumitru Baleanu^{3

4

5}, M Sheikholeslami⁶, Abderrahim Wakif⁷

Affiliations

¹ Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh Pakistan.
² Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi 75300, Pakistan.
³ Department of Mathematics, Cankaya University, 06790 Ankara, Turkey.
⁴ Institute of Space Sciences, 077125 Magurele, Romania.
⁵ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan.
⁶ Department of Mechanical Engineering, Babol Noshiravni University of Technology, Babol, Iran.
⁷ Laboratory of Mechanics, Faculty of Sciences Aïn Chock, University Hassan II of Casablanca, Casablanca 20000, Morocco.

Abstract

The mathematical modeling and numerical simulation are conferred to offer the novel perception of binary chemical reaction with an activation energy aspect on magneto flow comprising Cross liquid inspired by a moving wedge. The influences of Soret and Dufour are also presented. The similarity procedure is utilized to modify the leading PDEs into a non-linear system of ODEs and then analyzed through a significant technique namely bvp4c based on the collocation method. The impacts of varying distinct parameters under the temperature and the velocity distribution are explored and discussed with the support of the graphs. The outcomes indicate that the multiple results are attained for a specific amount of shrinking/stretching constraint. Furthermore, the Weissenberg number reduces the skin factor and speed up the heat and mass transport rate in the lower and upper branch solutions. Also, an assessment of current results with earlier published literature is made in the limiting case.

Keywords: Activation energy; Applied mathematics; Binary chemical reaction; Cross liquid; Fluid mechanics; Heat transfer; Magnetic field; Magnetohydrodynamics; Mass transfer; Mechanical engineering; Soret and Dufour effects.