4.4 Article

Unsteady MHD third-grade fluid past an absorbent high-temperature shrinking sheet packed with silver nanoparticles and non-linear radiation

Journal

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Volume 16, Issue 1, Pages 585-593

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/16583655.2022.2087396

Keywords

Nanofluid; third-grade fluid; magnetic field; shooting technique; Runge-Kutta method

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This study investigates the temperature and mass transport characteristics of a non-Newtonian third-order liquid on an absorbent convective temperature shrinking sheet. The study finds that the non-Newtonian parameter reduces the velocity of the liquid and increases the temperature and concentration profiles.
This investigation peruses the features of temperature and mass transport of the non-Newtonian third-order liquid over an absorbent convective temperature shrinking sheet. The sheet is packed with silver nanoparticles. The Buongiornos modelling uses a particular non-Newtonian third-order liquid with the Brownian movement and the thermophoresis consequences using the non-linear radiation. The non-linear partial differential equations are changed to the ordinary differential equations with similarity transformations. The changed system of equations is then resolved using the numerical Shooting method and the sixth-order Runge-Kutta's method. The numerically obtained solutions of the velocity profiles, temperature distributions, and concentrations of nanoparticles are discussed graphically. Also, the non-Newtonian parameter reduced the velocity of the liquid, increased the temperature and the concentration profiles throughout the fluid. Ultimately, the qualified systematic analysis is built by the preceding study in restrictive cases and displaingy the best correlation.

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