Progressive thermal onset of modified hybrid nanoparticles for oscillating flow via modified fractional approach

Ali Raza, Kamel Al-Khaled, Sami Ullah Khan*, Noureddine Elboughdiri, Anouar Farah, Hatem Gasmi, Abdelhamid Helali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The aim of this research is to develop a fractional supported thermal model for studying the features of modified hybrid nanofluid endorsed by uniformly accelerating plate. The novel impact of this work is observing the comparative thermal enhancement of water base fluid by utilizing four types of nanoparticles. The silver, copper, aluminum oxide and titanium oxide nanomaterials are utilized to present the comparative thermal aspect of modified hybrid nanofluid model. Moreover, the inclined direction of magnetic impact is treated. The second-grade nonlinear model is used to explore the base fluid properties. The fractional model is first attained into dimensionless form. The fractional computations with employing the Prabhakar fractional mathematical definitions are reported. The motivations for suggesting the Prabhakar algorithm are justified as this fractional algorithm contains modern definitions without any restriction of singularities. The verification of model is accomplished after simulating the comparison task with already performed studies. The physical dynamic and thermal enhancement of transportation phenomenon is performed for specific range of flow parameters like 0.1 ≤ α ≤ 0.7, 0.1 ≤ β ≤ 0.7, 0.1 ≤ γ ≤ 0.7, 0.7 ≤Pr ≤ 4.5, 0.01 ≤ φ ≤ 0.04, 0.8 ≤Sc ≤ 2.6, 1.7 ≤Gr ≤ 3.7, 1.5 ≤Gm ≤ 3.2 and Π 2 ≤ 1 ≤ Π 6 Based on the computational model, it is concluded that the thermal transportation phenomenon is more impressive for water-based titanium oxide nanoparticles. The temperature profile rises due to factional parameter for both copper-water- and sliver - water-based hybrid nanofluid suspension.

Original languageEnglish
Article number2350046
JournalInternational Journal of Modern Physics B
Publication statusAccepted/In press - 2022
Externally publishedYes


  • heat transfer
  • Modified hybrid nanofluid
  • Prabhakar fractional derivative
  • second-grade fluid
  • slip effects

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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