Heat transfer squeezed flow of Carreau fluid over a sensor surface with variable thermal conductivity: A numerical study

The present numerical investigation describes the influence of a transverse magnetic field on the heat and mass transfer characteristics of time‐dependent squeezed flow of Prandtl‐Eyring fluid past a horizontal sensor surface. The current physical problem is modeled based on the considered flow configuration. Also, the present problem is analyzed under the influence of Lorentz forces, to explore the impact of a magnetic field on the flow behaviour. The considered physical problem in the present study gives highly nonlinear coupled time‐dependent, two‐dimensional partial differential equations. The governing flow equations are reduced to the system of nonlinear ordinary differential equations by imposing the suitable similarity transformations on the laws of motion. Due to the inadequacy in the analytical methods, the present problem is solved by using the Runge‐Kutta fourth order integration scheme with shooting method. The flow and heat transfer behaviour of various control parameters are studied and presented in terms of graphs and tables. From the current investigation it is noticed that, the increasing magnetic parameter enhances the velocity field and diminishes the temperature profile in the flow region. Also, the magnifying permeable velocity parameter decreases the temperature field. The present similarity solutions are found to be in good agreement with previously published results.

\begin{matrix} U = a x, η = y \sqrt{\frac{a}{ν}}, f true(η true) = \frac{ψ}{x \sqrt{a} ν}, a = \frac{1}{s + b t}, u = a x f' true(η true) \\ v = - f true(η true) \sqrt{a ν}, θ true(η true) = \frac{T - T_{\infty}}{q_{o} \frac{x}{k} \sqrt{\frac{v}{a}}}, q true(x true) = q_{o} x, v_{o} true(t true) = v_{i} \sqrt{a} \end{matrix}} .

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Section: Governing Stress Tensor Of Prandtl‐eyring Fluidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetized squeezed flow of time‐dependent Prandtl‐Eyring fluid past a sensor surface

Shankar

Naduvinamani

2019

“…The governing equations having high nonlinearity are converted into ordinary differential equations with the cooperation of suitable similarity transformations. To find the solutions of these equations with boundary conditions, shooting technique is used along with Runge–Kutta scheme . Concentration, velocity, and temperature profiles are plotted to explore the behavior of distinct values of dimensionless quantities.…”

Section: Numerical Solutionmentioning

confidence: 99%

Model for MHD viscoelastic nanofluid flow with prominence effects of radiation

Hussain

Sarwar

Akbar

et al. 2018

Present phenomenon is dedicated to analyze the problem of steady state flow of an incompressible fluid model pertained to as magnetohydrodynamics viscoelastic nanofluid through a permeable plate. Continuity, momentum, energy, and concentration expressions are elaborated to comprehend nature of the fluid flow. Numerical solutions are presented. The arising mathematical problem is governed by interesting parameters which include viscoelastic parameter, magnetic field parameter, nanofluid parameter, radiation parameter, skin friction, Prandtle number, and Sherwood number. Solutions for the dimensionless velocity, temperature, and concentration fields and the corresponding skin friction, Nusselt number, and Sherwood number are determined and canvassed with the help of graphs for the distinct values of pertinent parameters.

“…Sheikholeslami and Shehzad deliberated influences of inconstant viscosity in ferrofluid in the company of Lorentz‐force. Effect of nonuniform thermal conductivity on squeezed flow was examined by Khan et al Malik et al represented the effect of variable viscosity on Casson flow with generalized Fourier's law. Some research paper related to heat transfer on nanofluid flow found on …”

Section: Introductionmentioning

confidence: 99%

Dynamics of nonuniform viscosity of unsteady CuO–H₂O nanofluid flow from a spinning body

Giri¹,

Das

Kundu

2019

This paper studies an unsteady rotating flow over a sphere. The substantial effect of nonuniform viscosity is accounted in the extant study. CuO‐H2O nanofluid is used in adopted nanofluid model. A comparative study among the upshot of nonuniform viscosity and uniform viscosity on present nanofluid model is established here. Primary equations of adopted model have been standardized through similarity methodology and the subsequent equations have been resolved numerically by expending an RK‐4 shooting exercise. The stimulus of encouraging flow parameters on the flow specific is made accurately through diagrams and charts. We witnessed that the heat transmission rate is intensified for unsteadiness factor of the present flow, which suggests that the rate of cooling improves. The unsteadiness factor supports the flow to upsurge in xgoodbreakinfix−direction and the reverse consequence originates in the spinning direction. The heat transmission rate is higher in case of nonuniform viscosity than uniform viscosity.