Homogeneous–heterogeneous reactions in peristaltic flow of Prandtl fluid with thermal radiation

Hayat, Tasawar; Asghar, S.; Tanveer, Anum; Alsaedi, Ahmed

doi:10.1016/j.molliq.2017.05.058

Cited by 44 publications

(26 citation statements)

References 30 publications

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“…in which a 0 and a 1 represent the half width and wave amplitude, c the wave speed, k the wavelength and t the time in fixed frame. The mathematical model for homogeneous and heterogeneous reaction is taken as [7,[31][32][33][34][35][36]:…”

Section: Mathematical Descriptionmentioning

confidence: 99%

“…Biomedical tools such as stethoscope, ventilator, dialysis, blood pump, finger and roller pumps machines also involve peristalsis. During the past few decades, the peristalsis of Newtonian and non-Newtonian liquids [1][2][3][4][5][6][7][8][9][10] is a hot topic of great interest for engineering and biological validations since the pioneering theoretical and experimental attempts of Shapiro et al [11] and Latham [12]. Available literature indicates that in the past peristalsis has been mostly considered to discuss the flow in straight/planar channels in the presence of constant/uniform applied magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…However, adequate information on peristaltic motion with homogeneous and heterogeneous reactions is found in the refs. [7,[34][35][36].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Peristaltic transport of Johnson–Segalman fluid with homogeneous–heterogeneous reactions: a numerical analysis

Farooq

Alsaedi

Hayat

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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The aim of present communication is to explore characteristics of radial magnetic field on the peristalsis of non-Newtonian material. Here Johnson-Segalman fluid model is used. The channel walls comprise the curvature effects. Mathematical description is formulated in view of mixed convection, Joule heating and heat generation effects. The boundaries of the curved channel satisfy the velocity slip and convective conditions. Additionally, the effects of homogeneous-heterogeneous reactions are also taken into account. Simplified form of the mathematical modelling is attained through low Reynolds number and large wave length deduction. The systems of nonlinear differential equations are solved numerically. The obtained numerical solutions for velocity, temperature and homogeneous-heterogeneous concentration are justified through graphical results.

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Section: Mathematical Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Peristaltic transport of Johnson–Segalman fluid with homogeneous–heterogeneous reactions: a numerical analysis

Farooq

Alsaedi

Hayat

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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“…(2017) discussed the passive control of nanoparticle due to convective heat transfer of Prandtl fluid model at the stretching surface. Hayat, Asghar, Tanveer and Alsaedi (2017) investigated the homogeneous–heterogeneous reactions in the peristaltic flow of Prandtl fluid with thermal radiation. Kumar, Rudraswamy, Gireesha and Haq (2017) discussed the numerical analysis for endoscope and Soret and Dufour effects on the peristalsis of Prandtl fluid.…”

Section: Introductionmentioning

confidence: 99%

Boundary layer flow and melting heat transfer of Prandtl fluid over a stretching surface by considering Joule heating effect

Kumar

Krishnamurthy

Rudraswamy

2019

MMMS

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Purpose The purpose of this paper is to study the impact of Joule heating on boundary layer flow and melting heat transfer of Prandtl fluid over a stretching sheet in the presence of fluid particles suspension. The transformed boundary layer equations are solved numerically by RKF-45 method. The influence of the non-dimensional parameters on velocity and temperature growths in the boundary layer region is analyzed in detail and the results are shown graphically. The results indicate that the larger estimation of α and β reduces for both velocity and temperature profile. Further, the rate of heat transfer decreases by increasing melting parameter. Design/methodology/approach The converted set of boundary layer equations is solved numerically by RKF-45 method. Obtained numerical results for flow and heat transfer characteristics are deliberated for various physical parameters. Furthermore, the skin friction coefficient and Nusselt number are also presented. Findings It is found that the heat transfer rates are advanced in the occurrence of non-linear radiation camper to linear radiation. Also, it is noticed that velocity profile increases by increasing Prandtl parameter but establishes opposite results for temperature profile. Originality/value The authors intend to analyze the boundary layer flow and melting heat transfer of a Prandtl fluid over a stretching surface in the presence of fluid particles suspension. The governing systems of partial differential equations have been transformed to a set of coupled ordinary differential equations by applying appropriate similarity transformations. The reduced equations are solved numerically. The pertinent parameters are discussed through graphs and plotted graphs. The present results are compared with the existing limiting solutions, showing good agreement with each other.

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“…Sucharitha et al (2017) explored wall flexibility and Joule heating effects on MHD peristaltic motion of nanomaterial. Hayat et al (2017a) investigated the radiative peristaltic flow of non-Newtonian nanomaterial with homogeneous-heterogeneous reactions. Shahid et al (Hayat et al , 2017b) scrutinized entropy generation minimization in the peristaltic flow of viscoelastic material saturating porous space.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation for entropy generation in peristaltic flow with single and multi-wall carbon nanotubes

Khan

Farooq

Hayat

et al. 2019

HFF

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Purpose The novel mechanical, chemical and thermodynamics characteristics of both single- and multi-wall carbon nanotubes (CNTs) make them a subject of much attention for the scientists and engineers from all domains. Fluid flows subject to CNTs are significant in biomedical engineering, energy storage systems, domestic and industrial cooling, automobile industries and solar energy collectors, etc. Keeping such effectiveness of CNTs in mind, this paper aims to examine peristaltic flow subject to CNTs in an asymmetric tapered channel. Both single and multiple walls CNTs are considered. The viscosity of nanomaterial depends on nanoparticles volume fraction and temperature. Total entropy rate through second law of thermodynamics is calculated. Heat source/sink and nonlinear heat flux are accounted. Design/methodology/approach The complicated flow expressions are simplified through lubrication approach. The velocity, temperature and entropy expressions are numerically solved by the built-in-shooting method. Findings The solutions for entropy generation, temperature and velocity are plotted, and the influences of pertinent variables are examined. The authors noticed that entropy generation is an increasing function of the Brinkman number. Originality/value The originality of this work is to communicate peristaltic CNTs-based nanomaterial peristaltic flow of viscous fluid in an asymmetric channel. No such consideration is yet published in the literature.

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Homogeneous–heterogeneous reactions in peristaltic flow of Prandtl fluid with thermal radiation

Cited by 44 publications

References 30 publications

Peristaltic transport of Johnson–Segalman fluid with homogeneous–heterogeneous reactions: a numerical analysis

Peristaltic transport of Johnson–Segalman fluid with homogeneous–heterogeneous reactions: a numerical analysis

Boundary layer flow and melting heat transfer of Prandtl fluid over a stretching surface by considering Joule heating effect

Numerical simulation for entropy generation in peristaltic flow with single and multi-wall carbon nanotubes

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