article · International Journal of Applied Electromagnetics and Mechanics
Mathematical modelling investigates the peristaltic motion of a non-Newtonian third-grade nanofluid travelling between two co-axial vertical tubes. The outer tube possesses flexible walls with sinusoidal deformations, mimicking natural or mechanical pumping actions. The flow occurs under the combined influence of mixed convection, thermal radiation, internal heat generation, and a radially varying magnetic field. Using long wavelength and low-Reynolds number assumptions, the governing partial differential equations for momentum, heat transfer, and nanoparticle concentration are simplified. Closed-form solutions are derived for the temperature and nanoparticle concentration profiles, whereas the non-linear fluid velocity is determined using the homotopy perturbation method. The analysis demonstrates that escalating the magnetic field parameter exerts a retarding effect, steadily reducing the axial fluid velocity through the annular gap.
Understanding nanofluid dynamics driven by peristalsis and external magnetic fields is vital for analysing advanced fluid-propulsion systems. By providing exact mathematical formulations for heat transfer and nanoparticle movement in flexible channels, this theoretical framework gives fluid dynamics researchers dependable predictive tools for systems operating under combined electromagnetic, thermal, and convective forces.
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In this study, the effects of internal heat generation and mixed convection with thermal radiation on peristaltic motion of a non-Newtonian fluid are investigated. The fluid used is third-grade model. The flow is through the gap between two co-axial vertical tubes under the effect of radially varying magnetic field. The outer tube is flexible with sinusoidal deformations. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat transfer and nanoparticles concentration which are simplified by using long wave length and low-Reynolds number assumptions. The closed solutions of fluid temperature and nanoparticle concentration are obtained, and the solution of velocity is obtained by using the homotopy perturbation method (HPM). The radially varying magnetic field effect on the axial velocity is discussed and it is shown that the increase of magnetic field parameter tends to reduce the fluid flow.
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DOI: 10.3233/jae-210001
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