Maxwell Nanofluid Flow over an Infinite Vertical Plate with Ramped and Isothermal Wall Temperature and Concentration

Abstract

The aim of this study is to investigate how heat and mass transfer impacts the unsteady incompressible flow of Maxwell fluid. An infinite vertical plate with ramped and isothermal wall temperature and concentration boundary conditions is considered with the Maxwell fluid. Furthermore, in this study, engine oil has been taken as a base fluid due to its enormous applications in modern science and technologies. To see the importance of nanofluids, we have suspended molybdenum disulfide in engine oil base fluid to enhance its heat transfer rate. To investigate the flow regime, the system of equations was derived in the form of partial differential equations. The exact solutions to the complex system are obtained using the Laplace transform technique. Graphically, the impact of different embedded parameters on velocity, temperature, and concentration distributions has been shown. Through using the graphical analysis, we were interested in comparing the velocity, temperature, and concentration profiles for ramped and isothermal wall temperature and concentration. The magnitude of velocity, temperature, and concentration distributions is greater for an isothermal wall and less for a ramped wall, according to our observations. We observed that adding molybdenum disulfide nanoparticles to the engine oil increased the heat transfer up to 12.899%. Finally, the corresponding skin friction, Nusselt number, and Sherwood number have been calculated and presented in a tabular form.

A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration

“…where β * is known as the Brinkman parameter, μ nf is the dynamic viscosity, and the electrical conductivity is σ nf , u is the velocity, ρ nf is the density, uniform magnetic field is represented by B 0 , g is the gravitational acceleration, ( β T ) nf is the thermal expansion coefficient, where the temperature is represented by T 1 , C 1 is the concentration, heat capacitance is symbolized as ( C P ) nf , and k nf is the thermal conductivity of nanofluid. The required initial and boundary conditions are as follows 7,34 :…”

“…Akram and Nadeem 5 examined the effects of a magnetic field and heat transfer on two-dimensional Jaffrey fluid peristaltic motion in an asymmetric channel. The effect of heat radiation along with ramped wall boundary conditions on the fluid flow was studied by Anwar et al 6 Khan et al 7 investigated free convection Maxwell fluid flow with ramping wall temperature and concentration. Through an infinite isothermal vertical plate, Soundergekar 8 calculated the exact solution to the viscous flow problem.…”

Sensitivity analysis of COVID-19 with quarantine and vaccination: A fractal-fractional model

“…Differential equations have been utilised to model dynamic processes in a variety of areas, including fluid mechanics, epidemiology, biochemistry, and engineering [10] , [11] , [12] , [13] , [14] , [15] . In epidemiology, the application of mathematics and computer approaches is gaining popularity.…”

A computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects

“…The effects of Soret and Dufour numbers on steady incompressible flow with binary chemical reaction and thermal radiation were explored by Rasool et al 18 The 3D time‐dependent MHDs rotating flow of Casson Carreau nanofluids across a stretching sheet with activation energy and heat source were investigation done by Ali et al 19 The Darcy–Forchheimer relation was used to study a Casson‐type steady incompressible MHD nanofluid flow across a nonlinear stretching surface/sheet with momentum, temperature, and solute slip conditions have been discussed 20 . The thermal radiation of nanofluid flow over a porous plate with MHD has been described by Krishna et al 21 and Khan et al 22 and is influenced by heat absorption. Ganesh et al, 23 Kandasamy et al, 24 Shah et al, 25 Zari et al, 26 Ganesh and Sridhar, 27 Mehta and Kataria, 28 and Rajesh and Chamkha 29 are all created models to explain how MHD, thermal radiation, and Soret–Dufour, Darcy–Forchheimer, and Casson nanofluid affect fluid flow on velocity, concentration, and temperature over a porous vertical plate.…”