Abstract
Abstract The flow of nanofluids past a stretching sheet has attracted much attention due to its wide applications in industry and engineering. Theoretical and numerical solutions have been discussed in this paper for studying the effect of suction or injection on flow of nanofluids past a stretching sheet. In the absence of thermophoresis the analytical exact solution of the stream function was obtained in terms of exponential function, while the exact solutions for temperature and nanoparticle volume fraction were obtained in terms of the generalized incomplete gamma function. In addition, in the presence of thermophoresis, the exact solutions are not available. Therefore, the numerical results, carried out by using Chebyshev collocation method (ChCM). It is found that a good agreement exists between the present results and with those published works. Useful results for temperature profile, concentration profile, reduced Nusselt number and reduced Sherwood number are discussed in details graphically. It was also demonstrated that both temperature and concentration profiles decrease by an increase from injection to suction. Finally, the present results showed that increase of the wall mass transfer from injection to suction decreased both reduced Nusselt number and the reduced Sherwood number when Brownian motion parameter and Lewis number increased.
Highlights
Nanotechnology has been widely used in industry since materials with sizes of nanometers possess unique physical and chemical properties
In the absence of thermophoresis the analytical exact solution of the stream function was obtained in terms of exponential function, while the exact solutions for temperature and nanoparticle volume fraction were obtained in terms of the generalized incomplete gamma function
The aim of the present paper is to extend the work of Khan and Pop [13] for studying the effect of suction or injection on flow of nanofluids past a stretching sheet, where new analytical and numerical results are deduced at some values of the investigating physical parameters
Summary
Nanotechnology has been widely used in industry since materials with sizes of nanometers possess unique physical and chemical properties. Nanoscale particle added fluids are called as nanofluid It represents the most relevant technological cutting edge currently being explored. The aim of the present paper is to extend the work of Khan and Pop [13] for studying the effect of suction or injection on flow of nanofluids past a stretching sheet, where new analytical and numerical results are deduced at some values of the investigating physical parameters. The present exact solutions can be found in terms of exponential and generalized incomplete gamma functions at some new values of the physical parameters. They are validated and plotted by using Chebyshev Collocation Method (ChCM)
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