Modeling and analysis of peristalsis of hybrid nanofluid with entropy generation
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Modeling and analysis of peristalsis of hybrid nanofluid with entropy generation Tasawar Hayat1,2 · Sadaf Nawaz1 · Ahmed Alsaedi2 Received: 23 December 2019 / Accepted: 24 September 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract This investigation intends to explore the peristaltic transport of rotating fluid in a channel. The channel is considered symmetric with flexible walls, and porous medium fills the saturated space. In this analysis, hybrid nanofluid consisting of titanium oxides and copper particles is taken. Water is used as the base fluid. MHD and Hall effects are employed in this problem. Formulation of energy equation is based on radiation and non-uniform heat source or sink parameter. Convection conditions are utilized for the boundary. Thermodynamics second relation is employed for entropy generation. Maxwell– Garnetts model of thermal conductivity is employed. Numerical analysis is carried out using NDSolve of Mathematica. The effect of nanoparticle volume fraction, Taylor number, Hartman number, porosity and Hall parameters is analyzed for axial and secondary velocities, temperature, entropy generation and heat transfer rate. This study divulges that an enhancement in rotation parameter caused an increase in secondary velocity. Moreover, as volume fraction of nanoparticles enhances from 0.01 to 0.04, decay is noticed in fluid’s axial and secondary velocities. In this case, entropy also decreases. This study further disclosed that heat transfer rate gradually increases as we exceed the volume fraction of nanoparticles from 0.02 to 0.08. More pores also lead to an enhancement in fluid velocity, temperature and entropy. Keywords Hybrid nanofluid · Hall effects · Joule heating · Thermal radiation · Peristalsis · Porous medium · Non-uniform heat source or sink parameter · Convective boundary conditions · Entropy generation · Compliant walls List of symbols 𝜂, −𝜂 Channel walls d Half channel width a Wave amplitude (u, v, w) Velocity components 𝜆 Wavelength t Time (x, y, z) Space coordinates 𝜌hnf Effective density of hybrid nanofluid 𝜇hnf Effective viscosity of hybrid nanofluid (𝜌C)hnf Effective heat capacity of hybrid nanofluid 𝜎hnf Effective electric conductivity of hybrid nanofluid * Sadaf Nawaz [email protected] 1
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2
Khnf Effective thermal conductivity of hybrid nanofluid Q Heat generation/absorption T0 , T1 Wall’s temperature qr Radiative heat flux k1 Permeability of porous space p̂ Pressure p Modified pressure 𝜏 Wall elastance parameter m∗ Mass per unit length d1 Wall damping parameter 𝜌f , 𝜌cu , 𝜌TiO2 Density of fluid and nanoparticles Kf Thermal conductivity of base fluid Kcu , KTiO2 Thermal conductivity of nanoparticles Ω Angular frequency 𝜙cu , 𝜙TiO2 Nanoparticles volume fraction 𝜎cu , 𝜎TiO2 Electr
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