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Slip impact on double-diffusion convection of magneto-fourth-grade nanofluids with peristaltic propulsion through inclined asymmetric channel

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Abstract

The significance of double-diffusivity convection and an inclined magnetic field on peristaltic propulsion of fourth-grade nanofluids through an inclined asymmetric channel is the focus of this study. A mathematical model of a fourth-grade nanofluid is presented, by considering a tilted magnetic field and double-diffusivity convection. The highly nonlinear partial differential equations (PDE's) are simplified with the lubrication methodology. Numerical technique is used to solve the coupled and highly nonlinear PDE's. To examine the impact of varying physical characteristics like Brownian motion, thermophoresis, Hartmann number, nanoparticle Grashof number, slip parameters and trapping on flow quantities, numerical and graphical results are provided. It is acquired that when Brownian motion is increased, the pressure gradient drops; however, when the thermophoresis parameter is increased, the pressure gradient boosts. It is also notable that the profile of velocity resembles a parabolic form and maximum velocity retain at channel’s center.

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Abbreviations

G rF :

Nanoparticle Grashof number

G rc :

Solutal Grashof number

G rt :

Thermal Grashof number

(ρc)f :

Fluid heat capacity

(ρc)p :

Heat capacity of nanoparticle

Pr :

Prandtl number

M :

Hartmann number

N b :

Brownian motion parameter

N t :

Thermophoresis parameter

N CT :

Soret parameter

D s :

Solutal diffusively

Ω:

Nanoparticle volume fraction

T :

Temperature

Re :

Reynolds number

C :

Solutal concentration

Ln :

Nanofluid Lewis number

N TC :

Dufour parameter

Le :

Lewis number

D B :

Brownian diffusion coefficient

D CT :

Soret diffusively

D TC :

Dufour diffusively

D T :

Thermophoretic diffusion coefficient

\({\beta }_\text{T}\) :

Volumetric thermal expansion

\({\rho }_\text{f}\) :

Fluid density

\(\delta\) :

Wave number

\(\Psi\) :

Stream function

\(\xi\) :

Inclination angle of MHD

\(\eta\) :

Inclination angle of channel

\(\theta\) :

Dimensionless temperature

\({\beta }_\text{C}\) :

Volumetric solutal expansion

\({\rho }_{\text{f}_{0}}\) :

Fluid density at T0

\({\rho }_\text{p}\) :

Nanoparticle mass density

\(\gamma\) :

Dimensionless solutal concentration

\(\lambda\) :

Wavelength

\(\mu\) :

Viscosity of fluid

\(\Theta\) :

Nanoparticle volume fraction

\(a,b\) :

Wave amplitudes

\(c\) :

Propagation of velocity

\(d\) :

Channel width

\(g\) :

Acceleration due to gravity

\(k\) :

Thermal conductivity

\(p\) :

Pressure

\(t\) :

Time

\(u\) :

Axial velocity

\(v\) :

Transverse velocity

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia for funding this work through research groups program under grant number RGP.2/39/42.

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Authors and Affiliations

  1. MCS, National University of Sciences and Technology, Islamabad, Pakistan

    Safia Akram & Muhammad Imran

  2. Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan

    Maria Athar

  3. Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Islamabad, Pakistan

    Khalid Saeed

  4. Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia

    Taseer Muhammad

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  1. Safia Akram
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Correspondence to Taseer Muhammad.

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Akram, S., Athar, M., Saeed, K. et al. Slip impact on double-diffusion convection of magneto-fourth-grade nanofluids with peristaltic propulsion through inclined asymmetric channel. J Therm Anal Calorim 147, 8933–8946 (2022). https://doi.org/10.1007/s10973-021-11150-1

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