Effects of Double Diffusive Convection and Inclined Magnetic Field on the Peristaltic Flow of Fourth Grade Nanofluids in a Non-Uniform Channel

• Published in: Nanomaterials (Basel, Switzerland) Vol. 12; no. 17; p. 3037
• Main Authors: Khan, Yasir, Akram, Safia, Razia, Alia, Hussain, Anwar, Alsulaimani, H. A.
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-09-2022; MDPI
• Subjects: Analysis; Brownian motion; Convection; Differential equations; Engineering; Exact solutions; Fluids; fourth grade fluid; Heat; Heat transfer; inclined magnetic field; Influence; Magnetic fields; Mathematical models; Nanofluids; Nanoparticles; Non-Newtonian fluids; non-uniform channel; Nonlinear differential equations; Partial differential equations; peristaltic flow; Physical properties; Physiology; Polymer melts; thermal and concentration convection; Thermophoresis; Tumors; Velocity; Viscosity; Saudi Arabia; Pakistan
• ISSN: 2079-4991; 2079-4991
• DOI: 10.3390/nano12173037

This study explored the impact of double diffusive convection and inclined magnetic field in nanofluids on the peristaltic pumping of fourth grade fluid in non-uniform channels. Firstly, a brief mathematical model of fourth grade fluid along inclined magnetic fields and thermal and concentration convection in nanofluids was developed. A lubrication approach was used to simplify the highly non-linear partial differential equations. An analytical technique was then used to solve the highly non-linear differential equations. The exact solutions for the temperature, nanoparticle volume fraction and concentration were calculated. Numerical and graphical outcomes were also examined to see the effects of the different physical parameters of the flow quantities. It was noted that as the impact of Brownian motion increased, the density of the nanoparticles also increased, which led to an increase in the nanoparticle fraction. Additionally, it could be observed that as the effects of thermophoresis increased, the fluid viscosity decreased, which lowered the fraction of nanoparticles that was made up of less dense particles.