Mixed convection peristaltic motion of copper-water nanomaterial with velocity slip effects in a curved channel.
OBJECTIVE
The primary objective of present analysis is to model the peristalsis of copper-water based nanoliquid in the presence of first order velocity and thermal slip conditions in a curved channel. Mixed convection, viscous dissipation and heat generation/absorption are also accounted.


METHODS
Mathematical formulation is simplified under the assumption of small Reynolds number and large wavelength. Regular perturbation technique is employed to find the solution of the resulting equations in terms of series for small Brinkman number. The final expression for pressure gradient, pressure rise, stream function, velocity and temperature are obtained and discussed through graphs. Mathematica software is utilized to compute the solution of the system of equations and to plot the graphical results.


RESULTS
Results indicates that insertion of 30% copper nanoparticles in the basefluid (water) velocity and temperature reduces by almost 3% and 40% respecively. Moreover it is seen that size of the trapped bolus also reduces almost 20% with the insertion of 20% nanoparticles (copper) in the basefluid (water).


CONCLUSIONS
It is noted that velocity and temperature are decreasing functions of nanoparticle volume fraction. Moreover the temperature rises when heat generation parameter and Brinkman number are enhanced.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
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Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. Electronic address: farooq.fmg89@yahoo.com.
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Farooq
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
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Alsaedi
D003198:Computer Simulation; D018481:Convection; D003300:Copper / Q000737:chemistry*; D016503:Drug Delivery Systems; D006358:Hot Temperature; D053768:Metal Nanoparticles; D008962:Models, Theoretical; D009038:Motion; D049329:Nanostructures / Q000737:chemistry*; D010528:Peristalsis; D011312:Pressure; D012212:Rheology; D012984:Software; D014783:Viscosity; D014867:Water / Q000737:chemistry*
D014867:Water; D003300:Copper
Copper-water nanofluid; Curved channel; First order velocity slip conditions; Heat generation; Mixed convection