Prabhakar fractional simulations for hybrid nanofluid with aluminum oxide, titanium oxide and copper nanoparticles along with blood base fluid

Yinyin Wang, Ali Raza, Sami Ullah Khan, M. Ijaz Khan, Mohamed Ayadi, M. A. El-Shorbagy, Nawal A. Alshehri, Fuzhang Wang, M. Y. Malik

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This fractional model addresses the analytical simulations for the hybrid nanofluid problem with different nanoparticles with consideration of blood base fluid. The thermal increment of the hybrid nanofluid model is inspected with consideration of aluminum oxide (Formula presented.), titanium oxide (Formula presented.), and copper (Formula presented.) nanoparticles. The conducted thermal phenomenon is assumed due to the magnetized moving surface with porous space. Moreover, the velocity and thermal slip assumptions are also introduced to make the model versatile. The Prabhakar fractional derivative simulations with recent mathematical expressions are followed for the analytical simulations. The implementation of the Prabhakar model is due to motivations toward fractional calculus for various kinds of physical problems. The integral technique via Laplace transformations is used. The numerical simulations are accomplished to compare and validate the attained results. The graphical illustrations examine the empirical results and the physical impact of various pertinent parameters of velocity and heat transfer profiles.

Original languageEnglish
Pages (from-to)4539-4558
Number of pages20
JournalWaves in Random and Complex Media
Volume35
Issue number3
DOIs
StatePublished - 2025

Keywords

  • Nanoparticles
  • Prabhakar fractional derivative
  • heat transfer
  • porous surface
  • slip effects

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