Thermal transport model for Brinkman type nanofluid containing carbon nanotubes with sinusoidal oscillations conditions: a fractional derivative concept

Zhang Jie, M. Ijaz Khan, Kamel Al-Khaled, Essam Roshdy El-Zahar, Nilankush Acharya, Ali Raza, Sami Ullah Khan, Wei Feng Xia*, Nai xin Tao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


With efficient thermal activities, nanofluids have a novel role in different scientific engineering fields due to their unique and numerous applications. For example, these fluids can be used in magnetic resonance imaging (MRI), magnetic refrigeration (MR), cancer treatment (hyperthermia), and drug delivery. By inspiriting these applications and the significance of electrically conducting nanofluids, in this article, we have studied blood-based nanofluid containing carbon nanotubes (CNTs). The Brinkman type nanofluid modal is established in terms of an efficient mathematical fractional technique namely Prabhakar fractional derivative with ramped temperature and sinusoidal oscillations conditions and for the generalized solutions of temperature and velocity profile, Laplace transformation scheme is utilized. For the heat transfer of nanofluids, the Prabhakar fractional derivative which is based on generalized Fourier’s law of thermal flux is determined. The physical behavior of different parameters is examined by graphical illustrations. As a result, we have concluded that the velocity profile is a bit higher for multi-walled carbon nanotubes (MWCNTs) as compared to single-walled carbon nanotubes (SWCNTs). Furthermore, velocity and temperature fields represent decaying behavior by varying the values of fractional parameters.

Original languageEnglish
JournalWaves in Random and Complex Media
Publication statusAccepted/In press - 2022
Externally publishedYes


  • Brinkman type nanofluid
  • Prabhakar fractional derivative
  • carbon nanotubes
  • sinusoidal oscillations conditions

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

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