Dr. Muhammad Sohail

Assistant Professor

PhD

Research Interests

Boundary Layer Theory; Heat and Mass Transport; Fractional Differential Equations; Flows in Porous Media; Numerical and Analytical Methods

Biography

Dr. Muhammad Sohail belongs to a very small village of district Haripur, Khyber Pakhtunkhwa, Pakistan. He got his PhD Mathematics degree from the Institute of Space Technology Islamabad, Pakistan in 2020. His research interests are on CFD simulation, mass transport, heat transfer, mathematical modelling, nonlinear dynamics, stability analysis, numerical and analytical methods, fractional differential equations, mixed convection and heat exchangers.

Awards and Honors

i. Fauji Foundation Academic Distinction Award
ii. Best Researcher Award from Government Postgraduate College Haripur, K.P.K.

Publications

1. Wang, F., Sohail, M., Nazir, U., El-Zahar, E.R., Park, C. and Jabbar, N., 2022. An implication of magnetic dipole in Carreau Yasuda liquid influenced by engine oil using ternary hybrid nanomaterial. Nanotechnology Reviews, 11(1), pp.1620-1632.

2. Khan, R.M., Imran, N., Mehmood, Z. and Sohail, M., 2022. A Petrov–Galerkin finite element approach for the unsteady boundary layer upper-convected rotating Maxwell fluid flow and heat transfer analysis. Waves in Random and Complex Media, pp.1-18.

3. Qayyum, M., Ismail, F., Ali Shah, S.I., Sohail, M., El-Zahar, E.R. and Gokul, K.C., 2022. An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model. Mathematical Problems in Engineering, 2022.

4. Wang, F., Nazir, U., Sohail, M., El-Zahar, E.R., Park, C.
and Thounthong, P., 2022. A Galerkin strategy for tri-
hybridized mixture in ethylene glycol comprising
variable diffusion and thermal conductivity using non-
Fourier’s theory. Nanotechnology Reviews, 11(1),
pp.834-845.
5. Algehyne, E.A., El-Zahar, E.R., Elhag, S.H., Bayones,
F.S., Nazir, U., Sohail, M. and Kumam, P., 2022.
Investigation of thermal performance of Maxwell hybrid
nanofluid boundary value problem in vertical porous
surface via finite element approach. Scientific Reports,
12(1), pp.1-12.
6. Hammachukiattikul, P.; Govindaraju, M.; Sohail, M.;
Vadivel, R.; Gunasekaran, N.; Askar, S. Analytical Study
on Sodium Alginate Based Hybrid Nanofluid Flow
through a Shrinking/Stretching Sheet with Radiation,
Heat Source and Inclined Lorentz Force Effects. Fractal
Fract. 2022, 6, 68.

7. Hou, E.; Wang, F.; Nazir, U.; Sohail, M.; Jabbar, N.;
Thounthong, P. Dynamics of Tri-Hybrid Nanoparticles in
the Rheology of Pseudo-Plastic Liquid with Dufour and
Soret Effects. Micromachines 2022, 13, 201.
8. Yasin Maria, Hina Sadia, Naz Rahila, Abdeljawad
Thabet, Sohail Muhammad, Numerical Examination on
Impact of Hall Current on Peristaltic Flow of Eyring-
Powell Fluid under Ohmic-Thermal Effect with Slip
conditions, Current Nanoscience 2022; .
https://dx.doi.org/10.2174/157341371866622010412403
8
9. Alhazmi, S. E., Wang, F., Nazir, U., Sohail, M., Ali, U.,
Thounthong, P., & Jamshed, W. (2022). Utilization of
modified fluxes on thermal and mass transportation in
Williamson material. Advances in Mechanical
Engineering.https://doi.org/10.1177/16878140221075874
10. Sohail, M., Alrabaiah, H., Ali, U., Zohra, F.T., Selim,
M.M. and Thounthong, P., 2021. Numerical exploration
of thermal and mass transportation by utilising non-
Fourier double diffusion theories for Casson model under
Hall and ion slip effects. Pramana, 95(4), pp.1-12.
11. Qayyum, M., Ismail, F., Sohail, M., Imran, N., Askar, S.
and Park, C., 2021. Numerical exploration of thin film
flow of MHD pseudo-plastic fluid in fractional space:
Utilization of fractional calculus approach. Open Physics,
19(1), pp.710-721.
12. Algehyne, E.A.; El-Zahar, E.R.; Sohail, M.; Nazir, U.;
AL-bonsrulah, H.A.Z.; Veeman, D.; Felemban, B.F.;
Alharbi, F.M. Thermal Improvement in Pseudo-Plastic

Material Using Ternary Hybrid Nanoparticles via Non-
Fourier’s Law over Porous Heated Surface. Energies
2021, 14, 8115. https://doi.org/10.3390/en1423811
13. Nazir, U., Sohail, M., Hafeez, M.B., Krawczuk, M.,
Askar, S. and Wasif, S., 2021. An inclination in Thermal
Energy Using Nanoparticles with Casson Liquid Past an
Expanding Porous Surface. Energies, 14(21), p.7328.
14. Nazir, U., Sohail, M., Selim, M.M., Alrabaiah, H. and
Kumam, P., 2021. Finite element simulations of hybrid
nano-Carreau Yasuda fluid with hall and ion slip forces
over rotating heated porous cone. Scientific Reports,
11(1), pp.1-15.
15. Nazir, U., Sohail, M., Hafeez, M.B. and Krawczuk, M.,
2021. Significant Production of Thermal Energy in
Partially Ionized Hyperbolic Tangent Material Based on
Ternary Hybrid Nanomaterials. Energies, 14(21), p.6911.
16. Sohail, M., Nazir, U., Chu, Y.M., Al-Kouz, W. and
Thounthong, P., 2021. Bioconvection phenomenon for
the boundary layer flow of magnetohydrodynamic
Carreau liquid over a heated disk. Scientia Iranica, 28(3),
pp.1896-1907.
17. Hou, E., Wang, F., El-Zahar, E.R., Nazir, U. and Sohail,
M., 2021. Computational Assessment of Thermal and
Solute Mechanisms in Carreau–Yasuda Hybrid
Nanoparticles Involving Soret and Dufour Effects over
Porous Surface. Micromachines, 12(11), p.1302.
18. Sohail, M., Chu, Y.M., El-zahar, E.R., Nazir, U. and
Naseem, T., 2021. Contribution of joule heating and

viscous dissipation on three dimensional flow of Casson
model comprising temperature dependent conductance
utilizing shooting method. Physica Scripta.
19. Zeb, H., Sohail, M., Alrabaiah, H. and Naseem, T., 2021.
Utilization of Chebyshev collocation approach for
differential, differential-difference and integro-
differential equations. Arab Journal of Basic and Applied
Sciences, 28(1), pp.413-426.
20. Zubair, T., Usman, M., Nazir, U., Kumam, P. and Sohail,
M., 2021. Numerical Exploration via Least Squares
Estimation on Three Dimensional MHD Yield Exhibiting
Nanofluid Model with Porous Stretching Boundaries.
Fractal and Fractional, 5(4), p.167.
21. Saeed, A., Bilal, M., Gul, T., Kumam, P., Khan, A. and
Sohail, M., 2021. Fractional order stagnation point flow
of the hybrid nanofluid towards a stretching sheet.
Scientific Reports, 11(1), pp.1-15.
22. Sohail, M., Ali, U., Zohra, F.T., Al-Kouz, W., Chu,
Y.M. and Thounthong, P., 2021. Utilization of updated
version of heat flux model for the radiative flow of a non-
Newtonian material under Joule heating: OHAM
application. Open Physics, 19(1), pp.100-110.
23. Sohail, M., Alrabaiah, H. and Nazir, U., 2021. Radiative
flow of MHD non‐Newtonian fluid by utilizing the
updated version of heat flux model under Joule heating.
Heat Transfer, 50(4), pp.3407-3425.
24. Ali, U., Khan, Z., Iqbal, A., Sohail, M. and Abdullah,
F.A., 2021. Compact implicit difference approximation

for time-fractional diffusion-wave equation. Alexandria
Engineering Journal.
25. Sohail, M., Nazir, U., Bazighifan, O., El-Nabulsi, R.A.,
Selim, M.M., Alrabaiah, H. and Thounthong, P., 2021.
Significant Involvement of Double Diffusion Theories on
Viscoelastic Fluid Comprising Variable Thermophysical
Properties. Micromachines, 12(8), p.951.
26. Naseem, T., Nazir, U., Sohail, M., Alrabaiah, H., Sherif,
E.S.M. and Park, C., 2021. Numerical exploration of
thermal transport in water-based nanoparticles: A
computational strategy. Case Studies in Thermal
Engineering, p.101334.
27. Naseem, T., Nazir, U., El-Zahar, E.R., Algelany, A.M.
and Sohail, M., 2021. Numerical Computation of Dufour
and Soret Effects on Radiated Material on a Porous
Stretching Surface with Temperature-Dependent Thermal
Conductivity. Fluids, 6(6), p.196.
28. Chu, Y.M., Nazir, U., Sohail, M., Selim, M.M. and Lee,
J.R., 2021. Enhancement in Thermal Energy and Solute
Particles Using Hybrid Nanoparticles by Engaging
Activation Energy and Chemical Reaction over a
Parabolic Surface via Finite Element Approach. Fractal
and Fractional, 5(3), p.119.
29. Nazir, U., Sohail, M., Ali, U., Sherif, E.S.M., Park, C.,
Lee, J.R., Selim, M.M. and Thounthong, P., 2021.
Applications of Cattaneo–Christov fluxes on modelling
the boundary value problem of Prandtl fluid comprising
variable properties. Scientific Reports, 11(1), pp.1-13.

30. Nazir, U., Sohail, M., Alrabaiah, H., Selim, M.M.,
Thounthong, P. and Park, C., 2021. Inclusion of hybrid
nanoparticles in hyperbolic tangent material to explore
thermal transportation via finite element approach
engaging Cattaneo-Christov heat flux. Plos one, 16(8), p.
e0256302.
31. Raza, R., Sohail, M., Abdeljawad, T., Naz, R. and
Thounthong, P., 2021. Exploration of Temperature-
Dependent Thermal Conductivity and Diffusion
Coefficient for Thermal and Mass Transportation in
Sutterby Nanofluid Model over a Stretching Cylinder.
Complexity, 2021.
32. Naz, R., Sohail, M., Bibi, M. and Javed, M., 2021.
Numerical treatment of magnetohydrodynamic Carreau
liquid with heat and mass transport containing gyrotactic
microorganisms. Scientia Iranica.
33. H. F. Wong, M. Sohail, Z. Siri and N. F., "Numerical
solutions for heat transfer of an unsteady cavity with
viscous heating," Computers, Materials & Continua, vol.
68, no.1, pp. 319–336, 2021.
34. Arooj, A., Javed, M., Imran, N., Sohail, M. and Yao,
S.W., 2021. Pharmacological and engineering biomedical
applications of peristaltically induced flow in a curved
channel. Alexandria Engineering Journal, 60(6), pp.4995-
5008.
35. Qayyum, M., Shah, S.I.A., Yao, S.W., Imran, N. and
Sohail, M., 2021. Homotopic fractional analysis of thin
film flow of Oldroyd 6-Constant fluid. Alexandria
Engineering Journal, 60(6), pp.5311-5322.

36. Raja Mehmood Khan; Waqas Ashraf; El-Zahar, E.R.;
Algelany, A.M.; Sohail, M, Thounthong, P, Effect of
Rotational Slip on the Physical Parameter in a Micro-
Polar Fluid Flow Past a Stretching Sheet, International
Journal of Modern Physics B.
37. Ali, U., Mastoi, S., Othman, W.A.M., Khater, M.M. and
Sohail, M., 2021. Computation of traveling wave
solution for nonlinear variable-order fractional model of
modified equal width equation. AIMS Mathematics, 6(9),
pp.10055-10069.
38. Zubair, T., Usman, M., Hamid, M., Sohail, M., Nazir,
U., Nisar, K.S. and Vijayakumar, V., 2021.
Computational analysis of radiative Williamson hybrid
nanofluid comprising variable thermal conductivity.
Japanese Journal of Applied Physics.
39. Naseem, T., Nazir, U. and Sohail, M., 2021.
Contribution of Dufour and Soret effects on
hydromagnetized material comprising
temperature‐dependent thermal conductivity. Heat
Transfer, 50(7), pp.7157-7175.
40. Imran, N., Javed, M., Qayyum, M., Sohail, M. and
Kashif, M., 2021. Heat transfer analysis for particle–fluid
suspension thermo-magnetohydrodynamic peristaltic
flow with Darcy–Forchheimer medium. Heat Transfer,
50(4), pp.3547-3563.
41. NASEEM, T., SOHAİL, M. and Hajra, Z.E.B., Novel
Schemes for Cauchy-Riemann System of Equations with
Cauchy Conditions. Advances in the Theory of Nonlinear

Analysis and its Application, 5(1), pp.94-126.
42. Naseem, T., Niazi, N., Ayub, M. and Sohail, M.,
Vectorial Reduced Differential Transform Method for
Fractional Cauchy‐Riemann System of Equations.
Computational and Mathematical Methods.
43. Gokul, K.C., Kandel, H., Valiño, L., Kaiti, R., Roy, P.,
Sohail, M. and Gurung, D.B., 2021. Computational study
for temperature distribution in ArF excimer laser corneal
refractive surgeries using different beam delivery
techniques. Lasers in Medical Science, pp.1-8.
44. Abdelsalam, S.I. and Sohail, M., 2020. Numerical
approach of variable thermophysical features of
dissipated viscous nanofluid comprising gyrotactic
micro-organisms. Pramana: Journal of Physics, 94(1).
45. Sohail, M., Naz, R. and Abdelsalam, S.I., 2020.
Application of non-Fourier double diffusions theories to
the boundary-layer flow of a yield stress exhibiting fluid
model. Physica A: Statistical Mechanics and its
Applications, 537, p.122753.
46. Sohail, M., Naz, R. and Abdelsalam, S.I., 2020. On the
onset of entropy generation for a nanofluid with thermal
radiation and gyrotactic microorganisms through 3D
flows. Physica Scripta, 95(4), p.045206.
47. Sohail, M., Shah, Z., Tassaddiq, A., Kumam, P. and
Roy, P., 2020. Entropy generation in MHD Casson fluid
flow with variable heat conductance and thermal
conductivity over non-linear bi-directional stretching
surface. Scientific Reports, 10(1), pp.1-16.

48. Imran, N., Javed, M., Sohail, M. and Tlili, I., 2020.
Utilization of modified Darcy's law in peristalsis with a
compliant channel: applications to thermal science.
Journal of Materials Research and Technology, 9(3),
pp.5619-5629.
49. Naz, R., Tariq, S., Sohail, M. and Shah, Z., 2020.
Investigation of entropy generation in stratified MHD
Carreau nanofluid with gyrotactic microorganisms under
Von Neumann similarity transformations. The European
Physical Journal Plus, 135(2), p.178.
50. Naz, R., Noor, M., Shah, Z., Sohail, M., Kumam, P. and
Thounthong, P., 2020. Entropy generation optimization
in MHD pseudoplastic fluid comprising motile
microorganisms with stratification effect. Alexandria
Engineering Journal, 59(1), pp.485-496.
51. Bilal, S., Sohail, M., Naz, R. and Malik, M.Y., 2020.
Dynamical and optimal procedure to analyze the
exhibition of physical attributes imparted by Sutterby
magneto-nanofluid in Darcy medium yielded by axially
stretched cylinder. Canadian Journal of Physics, 98(1),
pp.1-10.
52. Sohail, M. and Naz, R., 2020. Modified heat and mass
transmission models in the magnetohydrodynamic flow
of Sutterby nanofluid in stretching cylinder. Physica A:
Statistical Mechanics and its Applications, p.124088.
53. Imran, N., Javed, M., Sohail, M. and Tlili, I., 2020.
Simultaneous effects of heterogeneous-homogeneous
reactions in peristaltic flow comprising thermal radiation:

Rabinowitsch fluid model, Journal of Materials Research
and Technology, Volume 9, Issue 3, May–June 2020,
Pages 3520-3529.
54. Imran, N., Tassaddiq, A., Javed, M., Alreshidi, N.A.,
Sohail, M. and Khan, I., 2020. Influence of chemical
reactions and mechanism of peristalsis for the thermal
distribution obeying slip constraints: Applications to
conductive transportation. Journal of Materials Research
and Technology, Volume 9, Issue 3, May–June 2020,
Pages 6533-6543.
55. Naz, R., Mabood, F., Sohail, M. and Tlili, I., 2020.
Thermal and species transportation of Eyring-Powell
material over a rotating disk with swimming
microorganisms: applications to metallurgy. Journal of
Materials Research and Technology, Volume 9, Issue 3,
May–June 2020, Pages 5577-5590.
56. Imran, N., Javed, M., Sohail, M., Thounthong, P. and
Abdelmalek, Z., 2020. Theoretical exploration of thermal
transportation with chemical reactions for sutterby fluid
model obeying peristaltic mechanism. Journal of
Materials Research and Technology, 9(4), pp.7449-7459.
57. Imran, N., Javed, M., Sohail, M., Thounthong, P.,
Nabwey, H.A. and Tlili, I., 2020. Utilization of hall
current and ions slip effects for the dynamic simulation
of peristalsis in a compliant channel. Alexandria
Engineering Journal, 59(5), pp.3609-3622.
58. Qayyum, M., Khan, O., Abdeljawad, T., Imran, N.,
Sohail, M. and Al-Kouz, W., 2020. On Behavioral
Response of 3D Squeezing Flow of Nanofluids in a

Rotating Channel. Complexity, 2020.
59. Khan, R.M., Ashraf, W., Sohail, M., Yao, S.W. and Al-
Kouz, W., 2020. On Behavioral Response of
Microstructural Slip on the Development of
Magnetohydrodynamic Micropolar Boundary Layer
Flow. Complexity, 2020.
60. Javed, M., Imran, N., Arooj, A. and Sohail, M., 2020.
Meta-analysis on homogeneous-heterogeneous reaction
effects in a Sinusoidal wavy curved channel. Chemical
Physics Letters, p.138200.
61. Ali, U., Sohail, M., Usman, M., Abdullah, F.A., Khan, I.
and Nisar, K.S., 2020. Fourth-Order Difference
Approximation for Time-Fractional Modified Sub-
Diffusion Equation. Symmetry, 12(5), p.691.
62. Ali, U., Sohail, M., Abdullah, F.A., An Efficient
Numerical Scheme for Variable-Order Fractional Sub-
Diffusion Equation, Symmetry 2020, 12(9), 1437.
63. Sohail, M., Nazir, U., Chu, Y.M., Alrabaiah, H., Al-
Kouz, W. and Thounthong, P., 2020. Computational
exploration for radiative flow of Sutterby nanofluid with
variable temperature-dependent thermal conductivity and
diffusion coefficient. Open Physics, 18(1), pp.1073-1083.
64. Sohail, M., Ali, U., Al-Mdallal, Q., Thounthong, P.,
Sherif, E.S.M., Alrabaiah, H. and Abdelmalek, Z.,
2020. Theoretical and numerical investigation of
entropy for the variable thermophysical
characteristics of couple stress material:
Applications to optimization. Alexandria Engineering

Journal, 59(6), pp.4365-4375.
65. Naz, R., Sohail, M. and Hayat, T. (2020), "Numerical
exploration of heat and mass transport for the flow of
nanofluid subject to Hall and ion slip effects",
Multidiscipline Modeling in Materials and Structures,
66. Imran, N., Javed, M., Sohail, M., Farooq, S. and
Qayyum, M., 2020. Outcome of slip features on the
peristaltic flow of a Rabinowitsch nanofluid in an
asymmetric flexible channel. Multidiscipline Modeling in
Materials and Structures.
67. Imran, N., Javed, M., Sohail, M., Gokul, K.C. and Roy,
P., 2020. Exploration of thermal transport for Sisko fluid
model under peristaltic phenomenon. Journal of Physics
Communications.
68. Sohail, M. and Raza, R. (2020), "Analysis of radiative
magneto nano pseudo-plastic material over three
dimensional nonlinear stretched surface with passive
control of mass flux and chemically responsive species",
Multidiscipline Modeling in Materials and Structures.
69. Sohail, M., Naz, R., Shah, Z., Kumam, P. and
Thounthong, P., 2019. Exploration of temperature
dependent thermophysical characteristics of yield
exhibiting non-Newtonian fluid flow under gyrotactic
microorganisms. AIP Advances, 9(12), p.125016.
70. Sohail, M., Naz, R. and Bilal, S., 2019. Thermal
performance of an MHD radiative Oldroyd‐B nanofluid
by utilizing generalized models for heat and mass fluxes
in the presence of bioconvective gyrotactic

microorganisms and variable thermal conductivity. Heat
Transfer-Asian Research, 48(7), pp.2659-2675.
71. Bilal, S., Sohail, M., Naz, R., Malik, M.Y. and
Alghamdi, M., 2019. Upshot of ohmically dissipated
Darcy-Forchheimer slip flow of magnetohydrodynamic
Sutterby fluid over radiating linearly stretched surface in
view of Cash and Carp method. Applied Mathematics
and Mechanics, pp.1-16.
72. Sohail, M., Naz, R. and Raza, R. (2019), "Application of
double diffusion theories to Maxwell nanofluid under the
appliance of thermal radiation and gyrotactic
microorganism", Multidiscipline Modeling in Materials
and Structures,
73. Bilal, S., Sohail, M. and Naz, R. (2019), "Heat transport
in the convective Casson fluid flow with
homogeneous‒heterogeneous reactions in
Darcy‒Forchheimer medium", Multidiscipline Modeling
in Materials and Structures, Vol. 15 No. 6, pp. 1170-
1189.
74. Bibi, M., Sohail, M. and Naz, R. (2019), "Theoretical
analysis of MHD Carreau liquid over a heated rotating
disk under Von-Karman transformations",
Multidiscipline Modeling in Materials and Structures,
75. Sohail, M. and Tariq, S. (2019), "Dynamical and optimal
procedure to analyze the attributes of yield exhibiting
material with double diffusion theories", Multidiscipline
Modeling in Materials and Structures,
76. Sohail, M. and Mohyud-Din, S.T., 2012. Reduced

Differential Transform Method for Time-Fractional
Parabolic PDEs. Int. J. Modern Appl. Phys, 1(3), pp.114-
122.
77. Sohail, M. and Mohyud-Din, S.T., 2012. Reduced
differential transform method for time-fractional heat
equations. International journal of modern theoretical
Physics, 1(1), pp.13-22.
78. Sohail, M. and Mohyud-Din, S.T., 2012. Reduced
Differential Transform Method for Laplace Equations.
Int. J. Modern Theo. Physics, 1(1), pp.6-12.
79. Sohail, M. and Mohyud-Din, S.T., 2012. Reduced
differential transform method for parabolic PDES. Int. J.
Modern Eng. Sci., 1(2), pp.80-87.
80. Sohail, M. and Mohyud-Din, S.T., 2012. Reduced
differential transform method for solving a system of
fractional PDEs. International J. Modern Math. Sci, 4,
pp.21-29.
81. Kanwal, A., Sohail, M. and Mohyud-Din, S.T., 2012.
Fractional Model for Heat Conduction in Polar Bear
Hairs. Int. J. Modern Eng. Sci, 1(2), pp.97-104.