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

• Published in: Archive of applied mechanics (1991) Vol. 92; no. 8; pp. 2455 - 2465
• Main Authors: Alharbi, Khalid Abdulkhaliq M., Mansir, Ibrahim B., Al-Khaled, Kamel, Khan, M. Ijaz, Raza, Ali, Khan, Sami Ullah, Ayadi, Mohamed, Malik, M. Y.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022; Springer Nature B.V
• Subjects: Biofuels; Boussinesq approximation; Carbon; Chemical reactions; Classical Mechanics; Cooling systems; Engineering; Exact solutions; Extrusion; Mathematical models; Multi wall carbon nanotubes; Nanofluids; Nanomaterials; Nuclear reactions; Original; Slip flow; Theoretical and Applied Mechanics; Thermal transformations; Carbon nanotubes; Slip effects; Prabhakar derivatives; Blood base fluid; Brinkman-type fluid
• ISSN: 0939-1533; 1432-0681
• DOI: 10.1007/s00419-022-02188-0

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.