TY - JOUR
T1 - Diffusion phenomenon for natural convection flow of classical Hartmann problem due to a cylindrical tube by generalized Fourier's theories
T2 - A Fractional analysis
AU - Ali, Qasim
AU - Al-Khaled, Kamel
AU - Khan, M. Ijaz
AU - Khan, Sami Ullah
AU - Raza, Ali
AU - Oreijah, Mowffaq
AU - Guedri, Kamel
N1 - Publisher Copyright:
© 2023 World Scientific Publishing Company.
PY - 2022/10/19
Y1 - 2022/10/19
N2 - The classical Hartmann flow problem is still interesting and novel due to its applications in MHD generators, plasma physics, power systems, etc. Owing to such importance in mind, this investigation explores the natural convection flow of viscous fluid following the Hartmann flow phenomenon due to a cylindrical tube. The heat transfer characteristics with diffusion phenomenon have been taken into consideration. The classical problem is further extended by countering the magnetic force impact. The fractional framework based on the Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) is performed. The closed-form solutions are attained with Laplace as well as finite Hankel transforms. Further, the obtained results are stated as a combination of G-functions of Lorenzo and Hartley. The particular cases for the obtained simulations have been performed. The role of flow parameters governing the flow is graphically attributed.
AB - The classical Hartmann flow problem is still interesting and novel due to its applications in MHD generators, plasma physics, power systems, etc. Owing to such importance in mind, this investigation explores the natural convection flow of viscous fluid following the Hartmann flow phenomenon due to a cylindrical tube. The heat transfer characteristics with diffusion phenomenon have been taken into consideration. The classical problem is further extended by countering the magnetic force impact. The fractional framework based on the Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) is performed. The closed-form solutions are attained with Laplace as well as finite Hankel transforms. Further, the obtained results are stated as a combination of G-functions of Lorenzo and Hartley. The particular cases for the obtained simulations have been performed. The role of flow parameters governing the flow is graphically attributed.
KW - Fourier's law
KW - Hartmann flow
KW - fractional derivatives
KW - integral transforms
KW - natural convection
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UR - https://www.mendeley.com/catalogue/8090c25c-dbb8-3082-8942-27ff1571ded0/
U2 - 10.1142/s0217979223501047
DO - 10.1142/s0217979223501047
M3 - Article
AN - SCOPUS:85141231551
SN - 0217-9792
VL - 37
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 11
M1 - 2350104
ER -