Investigation into thermophoresis and Brownian motion effects of nanoparticles on radiative heat transfer in Hiemenz flow using spectral method

Document Type : Article


1 Department of Mathematics Islamabad College for Boys G-6/3, Islamabad 44000, Pakistan.

2 Department of Mathematics, University of Education, Lahore (Attock Campus 43600), Pakistan

3 Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad 44000, Pakistan


A study based on the theoretical investigation of Thermophoresis and Brownian motion effects on radiative heat transfer in the neighborhood of stagnation point. Thermophoresis and Brownian motion play an important role in thermal and mass concentration analyses. These analyses help to comprehend the core ideas to carry out in the discipline of science and technology. An electrically conducting nanofluid is considered which is described by the Buongiorno transport model. The power-law form of the stretching wall velocity allows the similarity solution, the transformed system of the ordinary differential equations is computed numerically with the efficient rapid convergent spectral scheme. The obtained results for velocity, temperature, concentration, shear strain, mass and heat transfer rates are presented graphically for various values of the pertinent parameters. The outcomes divulge that with the increase of power-law exponent, mass and heat transfer rates enhance. The information for the volume and high-temperature transfer rate is provided in the form of Tables. The obtained results are matched with the existing results and are shown to be a good agreement.


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