Thermal transport of MHD Casson–Maxwell nanofluid between two porous disks with Cattaneo–Christov theory

Abstract

Activation energy is the fundamental unit of energy required to initiate chemical reactions. Some instances of initiation energy use include liquid dispersions bite dust fashioning, polymer ejection, food handling, and paper manufacturing. In view of this, the present study investigates the impact of steady, incompressible magnetized Casson–Maxwell non-Newtonian nanofluid between two stationary porous disks. The fluid movement is created by uniform injection in the direction of the axial of stationary disks. It is noticed that the thermal conductivity of the fluid varies with varying temperature. By using Buongiorno nanofluid concept the Cattaneo–Christov thermal expression is implemented. Along with this, activation energy is considered. By introducing the suitable similarity variables, the fluid model is reduced in terms of ordinary differential equations and numerical solutions are generated by using inbuild bvp4c function in MATLAB. The various dimensionless parameters impact on velocity, temperature, and concentration are presented graphically. A numerical table is presented to show the variation of local-Nusselt and -Sherwood numbers on various values of different parameters. The study reveals that improvement in Casson parameter will incline the fluid velocity, but an opposite trend is seen in the case of a magnetic field. A rise in the Brownian motion and thermophoresis parameter will enhance both temperature profiles. Improved values of activation energy will increase the concentration. The rate of heat transfer is observed more in the case of the upper disk than the lower disk.

Keywords:

• Activation energy
• Casson–Maxwell nanofluid
• Cattaneo–Christov heat flux
• MHD
• permeable disks

Disclosure statement

The content of article has no conflict of interest.

Data availability

No availability exists for the data.

Authors’ contributions

Planned and designed the manuscript: GKR, JKM. Performed the Numerical simulation: GKR, JKM. Analyzed the data: GKR, SAS, JKM. Wrote the article: JKM, SC, IPK, SAS Proof reading: GKR, JKM.

Additional information

Funding

We don’t have any sources of financial funding and support from government and private sector.