Abstract
This study examines viscoelastic fractional nanofluid flow through Darcy medium. Memory characteristics due to elasticity are explored with noninteger time derivatives. The unsteady motion of MHD flow is modeled by nonlinear differential equations. Buoyancy forces are incorporated via convection parameters in the flow domain. Fractional relaxation time is considered to control the propagation speed of temperature. A finite difference, along with finite element, a numerical algorithm has been developed for the computation of governing flow equations. Friction coefficient, Sherwood numbers, and Nusselt numbers are computed for the noninteger derivative model. Simulations revealed that noninteger numbers have congruous behavior for concentration, temperature, and velocity fields. It is also noted that heat flux, δ 1 , and mass flux, δ 2 , numbers have contradictory effects on the friction coefficient. Various flows, particularly in polymer industries and electrospinning for the production of nanofibers, can be tackled in a comparable pattern.
Highlights
We have described the transport of momentum, heat, and concentration with the help of mathematical relations
Mathematical relations are formulated with constitutive expressions that handle fluxes of the above-prescribed quantities [1]
Transfer of heat is an analog of mass transfer in the constitutive expressions for fluxes
Summary
We have described the transport of momentum, heat, and concentration with the help of mathematical relations. Salama et al [12] discussed the solution of a flow problem through porous media with flux approximations. In this communication, the viscoelastic fluid model of second grade is analyzed for the transport mechanism with suspended nanoparticles. Under consideration, flow is unidirectional through a channel of infinite extent By this configuration, fluid velocity and its gradient are orthogonal to each other, which may lead to the addition of a nonlinear convection term in the governing equations. We have tackled the problem with finite element and finite difference techniques to solve the described fractional flow configuration In this communication, we have considered modeling with noninteger derivatives of nanofluid flow.
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