Abstract
The present paper concentrates on the second-order slip flow over a moving thin needle in a nanofluid. The combined effects of thermophoresis and Brownian motion are considered to describe the heat and mass transfer performance of nanofluid. The resulting system of equations are obtained using similarity transformations and being executed in MATLAB software via bvp4c solver. The physical characteristics of embedded parameters on velocity, temperature, concentration, coefficient of skin friction, heat and mass transfer rates are demonstrated through a graphical approach and are discussed in detail. The obtained outcomes are validated with the existing works and are found to be in good agreement. It is shown that, for a specific domain of moving parameter, dual solutions are likely to exist. The stability analysis is performed to identify the stability of the solutions gained, and it is revealed that only one of them is numerically stable. The analysis indicated that the percentage of increment in the heat and mass transfer rates from no-slip to slip condition for both thin and thick surfaces of the needle ( a = 0.1 and a = 0.2 ) are 10.77 % and 12.56 % , respectively. Moreover, the symmetric behavior is noted for the graphs of reduced heat and mass transfer when the parameters N b and N t are the same.
Highlights
IntroductionThe increment in the heat transfer rate is important as it may reduce the working time as well as lengthen the lifetime of a piece of equipment
In the world of advanced technology, nanotechnology plays a significant role considering engineering or industrial revolutions in the future, especially for heating and cooling processes.The increment in the heat transfer rate is important as it may reduce the working time as well as lengthen the lifetime of a piece of equipment
The numerical outcomes which consists of wall shear stress f 00 ( a), reduced heat transfer −θ 0 ( a), reduced mass transfer
Summary
The increment in the heat transfer rate is important as it may reduce the working time as well as lengthen the lifetime of a piece of equipment. Several methods were developed to improve the heat transfer efficiency rate for working fluids (engine oil, water and ethylene glycol). An attractive method to overcome this limitation by mixing the nanometer-sized (10–50 nm) solid particles called nanoparticles into the working or base fluids was found by Choi [1]. This mixture is regularly known as nanofluids. Since nanoparticles have higher thermal conductivity than the base fluids, it is possible to increase the thermal conductivity of the mixture. There are several types of nanomaterials, for instance, carbon nanotubes, metals, composite particles and carbides
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