Article

Heat transfer enhancement in fractional Brinkman nanofluids: Effects of thermal and nanoparticle geometry

Muhammad Irfan QadirDepartment of Mathematics, University of Engineering and Technology Lahore, PakistanAli B.M. AliAdvanced Technical College, University of Warith Al-Anbiyaa, IraqHakim AL GarallehDepartment of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi ArabiaUsman MajeedDepartment of Mathematics, University of Engineering and Technology Lahore, PakistanFaheem ul IslamDepartment of Mathematics, Minhaj University Lahore, PakistanAli RazaDepartment of Mathematics, Minhaj University Lahore, PakistanSami Ullah KhanDepartment of Mathematics, Namal University, Mianwali 42250, PakistanNodira NazarovaDepartment of Mathematics and Information Technologies in Education, Tashkent State Pedagogical University, Tashkent, UzbekistanManish GuptaDivision of Research and Development, Lovely Professional University, Phagwara, IndiaMuhammad WaqasDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonM. Ijaz KhanDepartment of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia

South African Journal of Chemical Engineeringjournal2025en

ABI

Abstract

• Innovative heat transfer enhancement using nanofluids. • Generalized Brinkman fluid model development. • Time-dependent fractional Prabhakar derivative employed. • Analytical solutions via Laplace transform technique. • Slip effects on nanofluid distributions examined. This communication aims to develop a fractional mathematical model for flow of generalized Brinkman fluid with utilization of nanoparticles over vertically heated plate. A suspension of titanium oxide ( T i O 2 ) and molybdenum disulfide ( M o S 2 ) with water ( H 2 O ) base fluid is considered to evaluates the heat transfer enhancement. Thermal properties of nanoparticles is presented. The problem is entertained with amplification of slip features. After formulating the governing equation, a novel fractional scheme namely Prabhakar technique is implemented. The integration framework is facilitated with famous Laplace technique. Physical interpretation of results has been revealed with different values of parameters. It is observed that velocity profile reduces due to Brinkman fluid parameter. Interaction of velocity slip parameter leads to decrement of velocity profile. Moreover, change in nanoparticles volume fraction leads to enhancement of temperature profile.

Topics

Nanofluid Flow and Heat Transfer Heat Transfer and Optimization Heat and Mass Transfer in Porous Media

Identifiers

DOI: 10.1016/j.sajce.2025.12.011

Citations and references

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