Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes

Khalid Fanoukh Al Oweidi; Wasim Jamshed; B Shankar Goud; Imran Ullah; Usman; Siti Suzilliana Putri Mohamed Isa; Sayed M El Din; Kamel Guedri; Refed Adnan Jaleel

doi:10.1038/s41598-022-25010-x

Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes

Sci Rep. 2022 Nov 29;12(1):20597. doi: 10.1038/s41598-022-25010-x.

Authors

Khalid Fanoukh Al Oweidi¹, Wasim Jamshed², B Shankar Goud³, Imran Ullah⁴, Usman⁵, Siti Suzilliana Putri Mohamed Isa^{6

7}, Sayed M El Din⁸, Kamel Guedri⁹, Refed Adnan Jaleel¹⁰

Affiliations

¹ Department of Water Resources Management Engineering, College of Engineering, Al-Qasim Green University, Babylon, Iraq.
² Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan. wasiktk@hotmail.com.
³ Department of Mathematics, JNTUH University College of Engineering Hyderabad, Kukatpally, Hyderabad, Telangana, 500085, India.
⁴ College of Civil Engineering, National University of Sciences and Technology, Islamabad, 44000, Pakistan.
⁵ Department of Computer Science, National University of Sciences and Technology, Balochistan Campus (NBC), Quetta, 87300, Pakistan.
⁶ Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400, Serdang, Selangor Darul Ehsan, Malaysia.
⁷ Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia.
⁸ Faculty of Engineering, Center of Research, Future University in Egypt, New Cairo, 11835, Egypt.
⁹ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah, 21955, Saudi Arabia.
¹⁰ Department of Information and Communication Enginèering, Al-Nahrain University, Baghdad, Iraq.

Abstract

The formation of entropy in a mixed convection Casson nanofluid model with Arhenius activation energy is examined in this paper using magnetohydrodynamics (MHD). The expanding sheet, whose function of sheet velocity is nonlinear, confines the Casson nanofluid. The final equations, which are obtained from the first mathematical formulations, are solved using the MATLAB built-in solver bvp4c. Utilizing similarity conversion, ODEs are converted in their ultimate form. A number of graphs and tabulations are also provided to show the effects of important flow parameters on the results distribution. Slip parameter was shown to increase fluid temperature and decrease entropy formation. On the production of entropy, the Brinkman number and concentration gradient have opposing effects. In the presence of nanoparticles, the Eckert number effect's augmentation of fluid temperature is more significant. Furthermore, a satisfactory agreement is reached when the findings of the current study are compared to those of studies that have been published in the past.