title: Thermomechanical Fractional Model of TEMHD Rotational Flow.
abstract: In this work, the fractional mathematical model of an unsteady rotational flow of Xanthan gum (XG) between two cylinders in the presence of a transverse magnetic field has been studied. This model consists of two fractional parameters α and β representing thermomechanical effects. The Laplace transform is used to obtain the numerical solutions. The fractional parameter influence has been discussed graphically for the functions field distribution (temperature, velocity, stress and electric current distributions). The relationship between the rotation of both cylinders and the fractional parameters has been discussed on the functions field distribution for small and large values of time.
authors.affiliation: Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt.
authors.forename: F
authors.initials: F
authors.lastname: Hamza
authors.affiliation: Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt.
authors.forename: A
authors.initials: A
authors.lastname: Abd El-Latief
authors.affiliation: Department of Mathematics, Faculty of Science, University of Damanhour, Damanhour, Egypt.
authors.forename: W
authors.initials: W
authors.lastname: Khatan
mesh_terms: D001696:Biomechanical Phenomena; D004738:Engineering; D005583:Fourier Analysis; D006358:Hot Temperature; D007221:Industry; D060526:Magnetic Fields; D008962:Models, Theoretical; D011135:Polysaccharides, Bacterial / Q000737:chemistry*; D012212:Rheology; D012399:Rotation; D012996:Solutions / Q000737:chemistry*
chemical_list: D011135:Polysaccharides, Bacterial; D012996:Solutions; C002563:xanthan gum