Effect of magnetic field and radiation on heat transfer analysis of nanofluid inside a square cavity filled with silver nanoparticles: Tiwari-Das model

• Published in: Waves in random and complex media Vol. 34; no. 2; pp. 804 - 822
• Main Authors: Sreedevi, P., Reddy, P. Sudarsana, Suryanarayana Rao, K. V.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.03.2024; Taylor & Francis Ltd
• Subjects: Adiabatic conditions; Dimensionless numbers; Finite difference method; Fluid flow; Heat transfer; magnetic field; Magnetic fields; Nanofluids; Nanoparticles; Nonlinear differential equations; Parameters; Partial differential equations; Prandtl number; Reynolds number; Silver; Silver-water nanofluid; Sketches; square cavity; thermal radiation; volume fraction of nanoparticles
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2021.1918798

Tiwari-Das model water-Ag-based radiative nanofluid heat transfer and fluid flow features inside a square cavity with adiabatic conditions on horizontal walls and isothermal conditions on both side walls, by taking magnetic field into account, are examined numerically in this analysis. The non-linear partial differential equations representing momentum and temperature equations are evaluated numerically by utilizing a finite difference method. The sketches of isotherms and stream lines of nanofluid inside the cavity with dissimilar values of radiation parameter $ ({0.1 \le R \le 0.9} ) $ ( 0.1 ≤ R ≤ 0.9 ) , Reynolds number $ ({0.1 \le \textrm{Re} \le 0.5} ) $ ( 0.1 ≤ Re ≤ 0.5 ) , volume fraction parameter $ ({0.01 \le \phi \le 0.09} ) $ ( 0.01 ≤ ϕ ≤ 0.09 ) , Rayleigh number $ ({100\textrm{ } \le \textrm{Ra} \le 1000} ) $ ( 100 ≤ Ra ≤ 1000 ) , magnetic field parameter $ ({1.0 \le M \le 3.0} ) $ ( 1.0 ≤ M ≤ 3.0 ) and Prandtl number $ ({5.2 \le \textrm{Pr} \le 7.2} ) $ ( 5.2 ≤ Pr ≤ 7.2 ) are plotted through graphs. The values of dimensionless Nusselt number with various values of pertinent parameters are also examined and results are represented in terms of plots. Heat transfer rate is intensified from 6.3% to 12.4% when silver nanoparticle of volume fraction 0.05 is suspended into the water.