Abstract
This paper investigates heat transmission near the surface of a vertical plate in the flow of a radiating nanofluid in an optically thick and porous medium as well as mass diffusion in the presence of a heat source/sink and a uniform magnetic flux. An H<sub>2</sub>O-based nanofluid with carbon nanotube (CNT) suspensions is considered in the fluid problem. Boussinesq's approximation was used to simulate the pressure gradient in the Navier-Stokes equation. The law of conservation of energy, momentum, and mass has been used to determine the governing partial differential equations for the current situation. The fluid behavior was demonstrated using the Caputo fractional derivative. The order of the Caputo time fractional derivative a considered in the problem is &alpha; &isin; (0,1). The nondimensionalized governing PDEs are solved analytically using an appropriate combination of Fourier-sine and Laplace transform techniques, and closed forms of solutions in terms of the Mittag-Leffler function are obtained for the velocity, temperature, and concentration fields. The effect of the significant parameters on the fluid performance is analyzed graphically. It is discovered that the concentration, temperature, and velocity profiles increase considerably with increasing fractional quantities due to changing mass, thermal, and momentum boundary layers for large time t. Further investigation demonstrates that as the magnetic field is intensified, the flow curves rapidly decrease. Tables have also been provided to demonstrate the effect of regulating physical parameters on friction drag, heat transmission rate, and mass transmission rate.
Published Version
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