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

• 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.