Double‐diffusive convection on peristaltic flow of hyperbolic tangent nanofluid in non‐uniform channel with induced magnetic field

Akram, Safia; Razia, Alia; Umair, Mir Yasir; Abdulrazzaq, Tuqa; Homod, Raad Z.

doi:10.1002/mma.8188

Cited by 21 publications

(11 citation statements)

References 56 publications

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“…Nanomaterials effects on induced magnetic field and double-diffusivity convection on peristaltic transport of Prandtl nanofluids in inclined asymmetric channel was reported by Akramet al 11 The survey of relevant investigations can be seen in references. [12][13][14][15] In several applications, the flow pattern communicates with the slip flow and the liquid exhibits a loss of adhesion on the wetted wall causing the liquid to slide along the wall. When the molecular mean free path length of the liquid is equivalent to the distance between the plates as in micro-channels or nano-channels, the liquid displays discontinuous impacts such as the slipstream experimentally established by Tretheway and Meinhart.…”

Section: Introductionmentioning

confidence: 99%

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Rheology of peristaltic flow in couple stress fluid in an inclined tube: Heat and mass transfer analysis

Abbas

Shakeel

Rafiq

et al. 2022

Advances in Mechanical Engineering

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The recent investigations ensure that the effect of an endoscope on the peristaltic flow is very important for medical diagnosis and it has many clinical applications such as gastric juice motion in the small intestine when an endoscope is inserted through it. Therefore, we have studied the problem of peristaltic flow with heat and mass transfer through the gap between coaxial inclined tubes where the inner tube is rigid and the outer tube has sinusoidal wave traveling down its wall. The inner tube fulfilled the slip condition while the outer tube has a no-slip condition. The lubrication approximation theory is utilized to simplify the normalized equations. The perturbation procedure is employed to concede the results for the pressure gradient and velocity field, whereas exact outcomes are established for the energy and concentration fields. Frictional forces and pressure rise per wavelength are calculated numerically. The impacts of embedded parameters are portrayed through graphs. It is found that fluid velocity reduces by increasing the couple stress parameter however the inverse effect is noted for the slip parameter. Furthermore, better pumping is viewed in the vertical tube as compared to the horizontal tube. A validity of perturbation solutions for velocity distribution is made with the finite element method and an admirable comparison is also noticed with previously published results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rheology of peristaltic flow in couple stress fluid in an inclined tube: Heat and mass transfer analysis

Abbas

Shakeel

Rafiq

et al. 2022

Advances in Mechanical Engineering

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“…The phenomenon of double-diffusive convection is very useful to resolve engineering, limnology and oceanography-related issues. In-depth studies on double diffusion and its uses are also given in the literature [45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Impact of slip boundaries on double diffusivity convection in an asymmetric channel with magneto‐tangent hyperbolic nanofluid with peristaltic flow

et al. 2022

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The impact of slip boundaries on velocity, thermal and concentration convection in a magneto-tangent hyperbolic nanofluid coated with peristaltic flow is the objective of this article. The magneto-tangent hyperbolic nanofluid flow equations are mathematically defined in detail. The purpose problem is simplified under creeping flow (Re− > 0) and long wavelength assumptions. The analysis is performed under slip boundary conditions. The extremely non-linear equations are solved using a numerical technique. The significance of important physical parameters of relevance is graphically illustrated for Weissenberg number, Hartmann number, thermophoresis parameter, power law index, Brownian motion, Soret and Dufour diffusively parameters. It is noted that temperature profile rises because of the growing influence of thermal slip, but concentration falls as a result of rising concentration slip parameter.

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“…e well-known perturbation method is the most commonly used technique for approximate solutions. [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A Theoretical Study of Reverse Roll Coating for a Non-Isothermal Third-Grade Fluid under Lubrication Approximation Theory

Ali

Zahid

Hou

et al. 2022

Mathematical Problems in Engineering

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The flow of non-Newtonian fluids is extremely important in a variety of industrial applications and processes, including painting, printing, and coating. The goal of this paper is to develop a mathematical model for an incompressible, non-isothermal third-grade fluid as it travels through a minor gap between two heated rolls that are revolving in the opposite direction. Using appropriate dimensionless parameters, the dimensionless version of the governing equations is constructed. To simplify the nondimensional form of the governing equations, the LAT (lubrication approximation theory) is applied. It is mentioned that the perturbation approach should be used. It is a very important tool in modern mathematical physics and practical fluid mechanics, and it is used a lot. Through perturbation techniques, exact solutions for velocity distribution, flow rate, temperature distribution, and pressure gradient are offered. To observe the flow pattern, streamlines are also drawn. Numerical outcomes of some substantial engineering quantities like flow rate, roll separation force, power input, and pressure distribution are found. Some outcomes are displayed graphically although others are presented in tabular form. We have observed that the third-grade parameters give a way to control velocity, pressure gradients, flow rate, and coating thickness. Further, increasing the velocities ratio values lowers the coating thickness on the web. Furthermore, the Brickman number has a significant influence on the temperature profile and has increased with the increase in the Brickman number. Both the model and the numerical calculations are in agreement with the viscous fluid model that is already present in the literature.

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Double‐diffusive convection on peristaltic flow of hyperbolic tangent nanofluid in non‐uniform channel with induced magnetic field

Cited by 21 publications

References 56 publications

Rheology of peristaltic flow in couple stress fluid in an inclined tube: Heat and mass transfer analysis

Rheology of peristaltic flow in couple stress fluid in an inclined tube: Heat and mass transfer analysis

Impact of slip boundaries on double diffusivity convection in an asymmetric channel with magneto‐tangent hyperbolic nanofluid with peristaltic flow

A Theoretical Study of Reverse Roll Coating for a Non-Isothermal Third-Grade Fluid under Lubrication Approximation Theory

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