Heat transfer enhancement for slip flow of single-walled and multi-walled carbon nanotubes due to linear inclined surface by using modified Prabhakar fractional approach

Khalid Abdulkhaliq M. Alharbi, Ibrahim B. Mansir, Kamel Al-Khaled, M. Ijaz Khan*, Ali Raza, Sami Ullah Khan, Mohamed Ayadi, M. Y. Malik

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The nanofluids have a vital role in many industries due to enhanced thermal efficiencies. The most practical applications referred to the nanomaterials are observed in heating and cooling systems, electronic chip, energy systems, extrusion processes, nuclear reactions, chemical processes, biofuels and many engineering devices. This research communicates with the slip flow of Brinkman-type hybrid nanofluid subject to the carbon nanotubes due to inclined plate. Both single-walled and multi-walled carbon nanotubes are used to analyze the thermal transport. The water as well as human blood is used for inspecting the base fluid properties with help of Brinkman-type fluid model. The Prabhakar fractional derivative-based simulations are performed to present the analytical solution. The solution of non-dimensional governing equations momentum and energy equations, under Boussinesq’s approximation, is attained with the help of recent and modified fractional mathematical definition namely Prabhakar-like thermal fractional derivative and Laplace transformation scheme. The thermal expressions are modeled via Fourier expressions. The influence and comparison of different parameters are examined graphically and numerically at the end of this exertion.

Original languageEnglish
JournalArchive of Applied Mechanics
Publication statusAccepted/In press - 2022
Externally publishedYes


  • Blood base fluid
  • Brinkman-type fluid
  • Carbon nanotubes
  • Prabhakar derivatives
  • Slip effects

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this