Adverse effects of a hybrid nanofluid in a wavy non-uniform annulus with convective boundary conditions

Sadaf, Hina; Abdelsalam, Sara I.

doi:10.1039/d0ra01134g

Cited by 89 publications

(37 citation statements)

References 21 publications

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“…Sohail et al [21] addressed the effect of momentum, heat, and mass transfer on the mixed convection boundary layer of Casson liquid for a porous medium. Sadaf and Abdelsalam [22] revealed the hostile effect of nanofluid in a wavy nonuniform annulus with flexible boundaries. Some other worthy research studies by Abdelsalam and Bhatti [23], Abdelsalam and Bhatti [24], Abdelsalam and Bhatti [25], and Eldesoky et al [26] have been performed with magnetic field effect in a tube for blood flow.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel

Shukla

Medhavi

Bhatt

et al. 2020

Mathematical Problems in Engineering

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A mathematical study for investigating heat transfer for the peristaltic flow of a Newtonian fluid through a nonuniform inclined channel while considering surface roughness of the inner wall has been conducted. Special attention is focused to analyze the physical behaviour of various flow characteristics at different magnitudes of surface roughness parameter. The results obtained for temperature have been characterized by two boundary conditions: uniform surface temperature and uniform heat flux. Effect of inner wall surface roughness and angle of inclination on the heat transfer for the peristaltic flow through a nonuniform channel has been discussed in detail. The expression for pressure gradient, velocity, and the temperature was obtained. The effect of inner wall surface roughness and the angle of inclination, on pressure rise and temperature, has also been elaborated in detail. The problem formulation developed has been solved using the long wavelength and low Reynolds number assumption.

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Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel

Shukla

Medhavi

Bhatt

et al. 2020

Mathematical Problems in Engineering

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“…We will further apply the finite sine-Fourier transform to Eq. (20) for which the function ̄(y, ), y ∈ a, b , a < b , is defined as [35] along with the inverse Fourier transform defined by…”

Section: Analytical Solutions For Velocities and Shear Stressesmentioning

confidence: 99%

“…In order to apply the inverse Fourier sine transform, we rewrite the Eq. (23) in the following suitable form (20)…”

Section: Analytical Solutions For Velocities and Shear Stressesmentioning

confidence: 99%

“…It has been seen that the fluid velocity decreases with the increase in the values of the fluids fractional parameters. Other interesting results relating to sigle layer fluid flow [18][19][20][21] and simultaneous flow two or more fluids can be seen in [7,15,[22][23][24][25][26]. To the best of authors knowledge, the study of simultaneous flow of multi-layer immiscible second grade not exist in literature.…”

Section: Introductionmentioning

confidence: 99%

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Multi-layer flows of immiscible fractional second grade fluids in a rectangular channel

Rauf

Muhammad

2020

SN Appl. Sci.

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Multi-layer laminar unsteady flows of immiscible fractional second grade fluids in a rectangular channel made by two parallel plates are studied. The fluid motion is produced by the motion of parallel walls in their plane and by the timedependent pressure gradient in the presence of the linear fluid-fluid interface conditions. The mathematical model is based on the generalized constitutive equations for the shear stress described by the time-fractional Caputo derivative. Integral transforms (finite Fourier sine transform and Laplace transform) have been used to obtain analytical and semi-analytical solutions for velocity, shear stress and the temperature fields. In the case of semi-analytical solutions, the Talbot's algorithms are used for the inverse Laplace transform. The numerical calculations are carried out with the help of Mathcad software, and the results are illustrated graphically. It has been found that the memory effects have a significant influence on the motion of the fluids. Keywords n-layered immiscible fluids • Fractional second grade fluids • Analytical and semi analytical solutions • Integral transforms Mathematics Subject Classification 76-XX • 76T30 • 76D50 Nomenclature i Density i Dynamic viscosity i Kynamic viscosity u 0 Characteristic velocity G i Elastic modulus i Shear stress u i (y, t) Velocity P Pressure h Distance between two plates X (y,) Laplace transform of the function X(y, t) E i , i (⋅) Mittag-Leffler function G 1 , 2 , 3 (t,) G-Lorenzo Hartely function

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“…The unsteady state of mixed convection flow of micropolar fluid moving along an inclined stretching plate has been scrutinized by Kasim et al [12]. Furthermore, some interesting studies regarding fluid flow and heat transfer for various aspects have been investigated, as reported in [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles

et al. 2020

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The Casson model is a fascinating model, which is genuinely recommended for use with fluids of a non-Newtonian type. The conventional model is not capable to represent the Casson model with the suspension of foreign bodies (dust particles). Due to this, the two-phase model for the mixture of Casson model fluid and dust particles is formulated. This study examines the emerging role of dust particles in changing the behavior of Casson model. In particular, two-phase flow of dusty Casson model with modified magnetic field and buoyancy effect under Newtonian heating boundary condition along a vertically stretching sheet is considered. The equations that govern under Casson model, together with dust particles, are reduced to a system of nonlinear ordinary differential equations by employing the suitable similarity variables. These transformed equations are then solved numerically by implementing the Runge–Kutta–Fehlberg (RKF45) method. The numerical results of skin friction coefficient plus Nusselt number are displayed graphically. The results revealed the fluid’s velocity tends to deteriorate due to the existence of dust particles, whilst its temperature is increased. The two-phase flow is one of the mathematical modeling techniques for multiphase flow, where the relationship between the fluid and solid is examined more closely. It is expected that the present findings can contribute to the understanding of the theory of two-phase flow mathematically, which will continue to produce significant research in this field.

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Adverse effects of a hybrid nanofluid in a wavy non-uniform annulus with convective boundary conditions

Abstract: The presented investigation theoretically studies the physical characteristics of a two-dimensional incompressible hybrid nanofluid in a non-uniform annulus where the boundaries are flexible.

Cited by 89 publications

References 21 publications

Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel

Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel

Multi-layer flows of immiscible fractional second grade fluids in a rectangular channel

Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles

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