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Combined Effects of Thermal Radiation and Magnetohydrodynamic on Peristaltic Flow of Nanofluids: Applications to Radiotherapy and Thermotherapy of Cancer

Author(s):

Wahed Hasona*, Nawal Almalki, Abdelhafeez ElShekhipy and Mohamed Ibrahim   Pages 1 - 14 ( 14 )

Abstract:


Background: Cancer is deadly to most of its patients. Consequently, researchers and modelers studies show that there are many ways to cure and destroy it. One of the effective ways is to inject the blood vessel close to the tumor with magnetic nanoparticles. Other way called radiation therapy or radiotherapy, which damage cancer cells by means of high doses of radiation.

Objective: This paper opts to investigate the influences of thermal radiation and variable electrical conductivity on peristaltic flow of Carreau nanofluids. First order chemical reaction, Dufour and Soret effects are taken into consideration.

Method: The resulting system of partial differential equations is solved numerically with the aid of Parameteric-NDSolve. Results for velocity, temperature and concentration distributions are obtained in the analytical two-dimensional and three-dimensional forms. The streamlines graphs are offered in the terminus, which elucidate the trapping bolus phenomenon.

Results: It's found that, the thermal radiation is a decreasing function in the temperature of fluid. As the temperature decreases, the diameter of the nanoparticles increases i.e., the volume of nanoparticle and its concentration increases and become more effective near to tumor tissues.

Conclusion: Radiotherapy and thermotherapy are effective methods to cure and damage the tumor tissues.

Keywords:

Peristaltic flow, Carreau nanofluids, thermal radiation, variable electrical conductivity, chemical reaction, Mathematica 11

Affiliation:

Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Mathematics Department, Faculty of Science, Imam Abdulrahman Bin Faisal University, Al-Dammam, Mathematics Department, Faculty of Science, Imam Abdulrahman Bin Faisal University, Al-Dammam, Mathematics Department, Faculty of science, Al-Azhar University, Cairo



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