Computational study on heat transfer and MHD‐electrified flow of fractional Maxwell nanofluids suspended with SWCNT and MWCNT

Abstract

Recent developments in fluid dynamics have been focusing on nanofluids, which preserve significant thermal conductivity properties and magnify heat transport in fluids. Classical nanofluid studies are generally confined to models described by partial differential equations of an integer order, where the memory effect and hereditary properties of materials are neglected. To overcome these downsides, the present work focuses on studying nanofluids with fractional derivatives formed by differential equations with Caputo time derivatives that provide memory effect on nanofluid characteristics. Further, heat transfer enhancement and boundary layer flow of fractional Maxwell nanofluid with single‐wall and multiple walls carbon nanotubes are investigated. The Maxwell nanofluid saturates the porous medium. Also, buoyancy, magnetic, electric, and heating effects are considered. Governing continuity, momentum, and energy equations involving Caputo time‐fractional derivatives reduced nondimensional forms using suitable dimensionless quantities. Numerical solutions for arising nonlinear problems are developed using finite difference approximation combined with L1 algorithm. The influence of involved physical parameters on flow and heat transfer characteristics is analyzed and depicted graphically. Our simulations found out that surface drag of Maxwell nanofluid with single‐walled carbon nanotubes dominates nanofluids with multiple walls carbon nanotubes, but the reverse trend is noticed for larger Grashof number values.

A numerical study on heat transfer and MHD flow of a Newtonian through a porous channel—Local thermal nonequilibrium model

“…Equations ( 7)-( 10) are coupled to each other, and the analytical solution of the system is tedious to obtain if possible thus, we solve the same numerically using the shooting method (see Siddheshwar and Revathi 24 ) with the Newton-Raphson method. To apply the shooting method to Equations ( 7)- (10), we need to reduce the BVP into a suitable IVP problem with the suitable initial conditions. Here, we denote u q B q θ q θ q = , = , = and = l s 1 3 5…”

“…Madhura et al 9 have explored the heat and mass transfer effects on MHD nanofluid flow over a moving/stationary plate drenched in a porous medium. Heat transfer on MHD boundary layer fluid flow under the buoyancy, electric, and heating effects is discussed by Babitha et al 10 In the studies mentioned above, the behavior of an induced magnetic field is neglected to intend to avoid complications involving mathematical analysis. Whereas in fact, the induced magnetic field produces its magnetic field, and this generated magnetic field, in turn, affects the externally applied magnetic field and the behavior of fluid motion.…”

“…Madhura et al 9 have explored the heat and mass transfer effects on MHD nanofluid flow over a moving/stationary plate drenched in a porous medium. Heat transfer on MHD boundary layer fluid flow under the buoyancy, electric, and heating effects is discussed by Babitha et al 10 …”

Heat transfer analysis of Maxwell tri-hybridized nanofluid through Riga wedge with fuzzy volume fraction

“…Yahya et al 8 studied the heat transfer analysis on Maxwell hybrid nanofluid over a Riga wedge with a viscous dissipation effect. Babitha et al 9 estimated the flow of MHD on fractional Maxwell nanofluids suspended with SWCNT and MWCNT. Several investigators have disclosed various characteristics of the Maxwell liquid 10 , 11 and 12 .…”