MHD Carbon Nanotubes Gravity-Driven Flow Along a Thermal Sensitive Porous Surface

• Published in: Arabian journal for science and engineering (2011) 2022-12, Vol.47 (12), p.15875-15885
• Main Authors: Maraj, E. N., Bibi, Aneela, Ijaz, S., Mehmood, R.
• Format: Article
• Language: English
• Subjects: Biot number; Cartesian coordinates; Engineering; Fluid flow; High temperature effects; Humanities and Social Sciences; Multi wall carbon nanotubes; multidisciplinary; Nanofluids; Nonlinear differential equations; Ohmic dissipation; Partial differential equations; Research Article-Mechanical Engineering; Resistance heating; Science; Thermal radiation
• ISSN: 2193-567X; 1319-8025; 2191-4281
• DOI: 10.1007/s13369-022-06775-9

The main focus of this mathematical study is to explore the gravity-driven flow of Carbon (single and multi) nanotubes influenced by applied magnetic field towards a vertical thermal sensitive porous sheet. Moreover, heat transfer of nanofluid flow is explored taking into the account viscous dissipation and joule heating effect. The physical flow problem is mathematically modeled in Cartesian coordinate system. The coupled system of nonlinear partial differential equations is reduced to the ordinary differential equations system by implementing similarity analysis. Computational software MATLAB built in routine Bvp4c is employed to compute numerical solutions for assisting flow ( σ < 0 ) as well as opposing flow ( σ > 0 ) . It is concluded that MWCNTs gives promising results in case of favorable buoyancy force. Moreover, presence of CNTs along with Biot number contribute to upsurge fluid temperature whereas thermal radiation influence fluid temperature in an opposite manner.