Journal
NANOMATERIALS
Volume 12, Issue 17, Pages -Publisher
MDPI
DOI: 10.3390/nano12173037
Keywords
thermal and concentration convection; nanofluids; peristaltic flow; non-uniform channel; inclined magnetic field; fourth grade fluid
Categories
Funding
- ministry of education, Saudi Arabia
- University of Hafr Al Batin, Saudi Arabia
- [IFP-A-2022-2-5-24]
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This study investigated the impact of double diffusive convection and inclined magnetic field in nanofluids on the peristaltic pumping of fourth grade fluid in non-uniform channels. A mathematical model along with analytical techniques were used to calculate the effects of different physical parameters on flow quantities. Results showed that an increase in Brownian motion led to an increase in nanoparticle density, while an increase in thermophoresis decreased fluid viscosity and lowered the fraction of less dense nanoparticles.
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.
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