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Outcomes of Partial Slip on Double-Diffusive Convection on Peristaltic Waves of Johnson–Segalman Nanofluids Under the Impact of Inclined Magnetic Field

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Abstract

The outcomes of partial slip on double-diffusive convection of Johnson–Segalman nanofluids in an asymmetric peristaltic path are presented in this research with the effect of inclined magnetic field. The mathematical formulation of Johnson–Segalman nanofluids is also discussed with double-diffusive convection and inclined magnetic field. To simplify extremely nonlinear partial differential equations, a lubricant approach is applied. The numerical calculations are obtained to the equations for the stream function, concentration, pressure gradient, temperature, velocity, nanoparticle volume fraction, and pressure rise. The impact of prominent hydro-mechanical parameters such as Brownian motion, thermophoresis, Soret, Dufour, and slip constraints on the axial velocity, trapping, volumetric fraction, pressure gradient, temperature, pressure rise, and concentration functions is evaluated graphically. It is noted that slip effect in the channel causes the fluid particles to stray, slowing the fluid velocity. Moreover, it has been noted that as thermophoretic effects and Brownian motion increase, nanoparticles rapidly move from the wall into the fluid, significantly raising temperature.

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Abbreviations

C :

Solutal concentration

T :

Temperature

G rF :

Grashof number of nanoparticles

\(\Omega\) :

Nanoparticle volume fraction

\(D_{B}\) :

Brownian diffusion coefficient

Re:

Reynolds number

\(D_{s}\) :

Solutal diffusively

\(N_{t}\) :

Thermophoresis parameter

\(\left( {\rho c} \right)_{f}\) :

Heat capacity of fluid

\(N_{CT}\) :

Soret parameter

\(G_{rc}\) :

Solutal Grashof number

\(M\) :

Hartmann number

Pr:

Prandtl number

\(Le\) :

Lewis number

\(N_{b}\) :

Brownian motion parameter

\(D_{T}\) :

Thermophoretic diffusion coefficient

\(G_{rt}\) :

Thermal Grashof number

\(N_{TC}\) :

Dufour parameter

\(Ln\) :

Nanofluid Lewis number

\(\left( {\rho c} \right)_{p}\) :

Heat capacity of nanoparticle

\(D_{TC}\) :

Dufour diffusively

\(D_{CT}\) :

Soret diffusively

\(u\) :

Axial velocity

\(g\) :

Acceleration due to gravity

\(d_{1} ,d_{3}\) :

Channel width

\(k\) :

Thermal conductivity

\(d_{2} , d_{4}\) :

Wave amplitudes

\({\text{v}}\) :

Transverse velocity

\(b\) :

Wave amplitude

\(p\) :

Pressure

\(t\) :

Time

\(c\) :

Propagation of velocity

\(\delta\) :

Wavelength

\(\rho_{p}\) :

Nanoparticle mass density

\(\gamma\) :

Solutal concentration

\(\beta_{T}\) :

Volumetric coefficient of thermal expansion

\(\omega_{3}\) :

Concentration slip parameter

\(\omega_{1}\) :

Velocity slip parameter

\(\delta\) :

Wave number

\(\Psi\) :

Stream function

\(\left( {\rho c} \right)_{p}\) :

Nanoparticle heat capacity

\(\Gamma\) :

Magnetic field inclination angle

\(\beta_{C}\) :

Volumetric coefficient of solutal expansion

\(\omega_{4}\) :

Nanoparticles slip parameter

\(\omega_{2}\) :

Temperature slip parameter

\(\Theta\) :

Temperature

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Authors and Affiliations

  1. Comsats University, Islamabad, Pakistan

    Khalid Saeed & Adeel Ahmad

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

    Safia Akram

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  1. Khalid Saeed
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Saeed, K., Akram, S. & Ahmad, A. Outcomes of Partial Slip on Double-Diffusive Convection on Peristaltic Waves of Johnson–Segalman Nanofluids Under the Impact of Inclined Magnetic Field. Arab J Sci Eng 48, 15865–15881 (2023). https://doi.org/10.1007/s13369-023-07706-y

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