Unsteady axisymmetric flow and heat transfer over time-dependent radially stretching sheet

The present study investigated the steady magnetohydrodynamics of the axisymmetric flow of a incompressible, viscous, electricity-conducting nanofluid with convective boundary conditions and thermo-diffusion over a radially stretched surface. The nanoparticles’ volume fraction was passively controlled on the boundary, rather than actively controlled. The governing non-linear partial differential equations were transformed into a system of nonlinear, ordinary differential equations with the aid of similarity transformations which were solved numerically, using the very efficient variational finite element method. The coefficient of skin friction and rate of heat transfer, and an exact solution of fluid flow velocity, were contrasted with the numerical solution gotten by FEM. Excellent agreement between the numerical and exact solutions was observed. The influences of various physical parameters on the velocity, temperature, and solutal and nanoparticle concentration profiles are discussed by the aid of graphs and tables. Additionally, authentication of the convergence of the numerical consequences acquired by the finite element method and the computations was acquired by decreasing the mesh level. This exploration is significant for the higher temperature of nanomaterial privileging technology.

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“…The following are the similarity transformations to solve the Equations (1)-(5) stated as (see [28,32]):…”

Section: Mathematical Formulationmentioning

confidence: 99%

A Finite Element Simulation of the Active and Passive Controls of the MHD Effect on an Axisymmetric Nanofluid Flow with Thermo-Diffusion over a Radially Stretched Sheet

Ali

Sadiq

et al. 2020

Processes

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“…B 0 is the uniform strength of the magnetic field, m > 0 is the power-law index, and λ denotes the unsteadiness parameter. Under the above conditions, the governing equations of continuity, momentum conservation, energy conservation, and nanoparticle volume fraction can be expressed as (see [12,27]):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Followings are the similarity transformations to solve Equations (1)-(5) stated as (see [12,27]): The fluid's viscosity in Equation (2) depends on the temperature and it varies exponentially. The mathematical form of the Reynolds exponential viscosity model is [29]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…These incorporate paper production, fluid metal, glass fiber, and polymer sheet manufacturing. Non-Newtonian fluids, including physiological fluids, oils, paints, natural fluids, colloidal fluids, and foodstuffs, play a significant role in our daily lives [12,13]. Rana et al [14] studied the impact of mixed convection and magnetic field on the thermal conductivity in the presence of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

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Variable Viscosity Effects on Unsteady MHD an Axisymmetric Nanofluid Flow over a Stretching Surface with Thermo-Diffusion: FEM Approach

et al. 2020

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The present study investigated the unsteady magnetohydrodynamic (MHD) nanofluid flow over a radially nonlinear stretching sheet along with the viscosity dependent on temperature, convective boundary condition, thermo-diffusion, and the radiation effects. Moreover, the nanofluid’s viscous effects were considered dependent on temperature and the exponential Reynolds model was considered in this context. It was additionally assumed that a uniform suspension of nanoparticles is present in the base fluid. The Buongiorno model, which involves the thermophoresis and Brownian motion effects, was considered. For the sake of a solution, the variational finite element method was selected with coding in MATLAB and the numerical results were contrasted with the published articles. The influence of various physical parameters on the velocity, temperature, and concentration profiles are discussed by the aid of graphs and tables. It was detected that the nanofuid viscosity parameter declines the fluid flow velocity, while, for the temperature and the concentration profiles, it accomplished the reverse phenomenon.

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“…The fluid is heated by fluid friction, whereas the heat conduction acts as a heat sink and decreases the temperature increase in the fluid. The transient energy equation for the liquid film that ignores compression and radiation is expressed as [25][26][27][28][29] FIG. 7.…”

Section: Mathematical Model and Simulation Of Temperaturementioning

confidence: 99%

The effect of energy accumulation and boundary slip on laminar flow between rotating plates

Zeng

Chen

et al. 2018

AIP Advances

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The poor operating conditions of fluid lubrication equipment during the start-up process are due to the resistance of the high-viscosity lubricating liquid. Moreover, the excessive reduction in fluid viscosity due to the elevated temperature resulting from power consumption during prolonged operation is not conducive to the generation of dynamic pressure. In this study, we examine the effect of energy accumulation and boundary slip on the laminar flow of a liquid between a pair of rotating plates. The experiments are conducted using a rotary rheometer, with polymethyl methacrylate (PMMA) as the thermal insulation material and polytetrafluoroethylene (PTFE) as the slip drag reduction material, and a three-dimensional simulation model is established. This model is derived by combining the energy equation including the slip length and the heat conduction equation. Thus, the temperature changes over time are predicted by this model, and the model accuracy is verified by experiments. The results reveal the following points: 1) boundary slips function as a drag reduction mechanism for short-time continuous operation; 2) under prolonged operation, the slip reduces the extent of the oil viscosity decrease and clear control of the elevated temperature by the boundary slip is observed.

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Unsteady axisymmetric flow and heat transfer over time-dependent radially stretching sheet

Cited by 51 publications

References 17 publications

A Finite Element Simulation of the Active and Passive Controls of the MHD Effect on an Axisymmetric Nanofluid Flow with Thermo-Diffusion over a Radially Stretched Sheet

A Finite Element Simulation of the Active and Passive Controls of the MHD Effect on an Axisymmetric Nanofluid Flow with Thermo-Diffusion over a Radially Stretched Sheet

Variable Viscosity Effects on Unsteady MHD an Axisymmetric Nanofluid Flow over a Stretching Surface with Thermo-Diffusion: FEM Approach

The effect of energy accumulation and boundary slip on laminar flow between rotating plates

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