Hafeez Ahmad
Research Subjects
Hafeez Ahmad has a total of 16 co-authors. Here are the top co-authors by number of shared publications:
- Kaouther Ghachem
Department of Industrial and Systems Engineering, College of Engineering, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
2 shared publications - Lioua Kolsi
Department of Mechanical Engineering College of Engineering University of Ha'il Ha'il City Saudi Arabia
2 shared publications - Abid Hussanan
Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
1 shared publication - Ahmad Shafique
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
1 shared publication - Amir Abbas
Department of Mathematics, Faculty of Natural Sciences and Technology, Baba Guru Nanak University, Nankana Sahib 39100, Pakistan
1 shared publication - Amir Abbas
Department of Mathematics, Faculty of Science, University of Gujrat, Sub-Campus, Mandi Bahauddin 50400, Pakistan
1 shared publication
Latest Publications
- Open Access
- 18 February 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (4) , 1043
Magnetohydrodynamic Bioconvective Flow of Williamson Nanofluid over a Moving Inclined Plate Embedded in a Porous Medium
Research interest in nanotechnology is growing due to its diversified engineering and medical applications. Due to the importance of bioconvection in biotechnology and various biological systems, scientists have made significant contributions in the last ten years. The present study is focusing on the investigation of the magnetohydrodynamics (MHD) bioconvective heat transfer of a Williamson nanofluid past an inclined moving plate embedded in a porous medium. The partial differential equations governing the considered configuration are established, then transformed into ordinary differential equations using suitable similarity transformations. The variables corresponding to the velocity, temperature, nanoparticle volume fraction, and density of motile micro-organisms along with their gradients, are computed using the bvp4c-MATLAB built-in numerical solver. Results showed the rising of the buoyancy ration parameter leads to an increase in the flow velocity. It has been also observed that the flow intensity becomes more important with an increase in the Weissenberg number, and the opposite occurs with an increase in the bioconvective Rayleigh number. As an effect of the Brownian motion, a random fluid particle’s motion is encountered.
- 18 February 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (4) , 1043
Open AccessMagnetohydrodynamic Bioconvective Flow of Williamson Nanofluid over a Moving Inclined Plate Embedded in a Porous Medium
Research interest in nanotechnology is growing due to its diversified engineering and medical applications. Due to the importance of bioconvection in biotechnology and various biological systems, scientists have made significant contributions in the last ten years. The present study is focusing on the investigation of the magnetohydrodynamics (MHD) bioconvective heat transfer of a Williamson nanofluid past an inclined moving plate embedded in a porous medium. The partial differential equations governing the considered configuration are established, then transformed into ordinary differential equations using suitable similarity transformations. The variables corresponding to the velocity, temperature, nanoparticle volume fraction, and density of motile micro-organisms along with their gradients, are computed using the bvp4c-MATLAB built-in numerical solver. Results showed the rising of the buoyancy ration parameter leads to an increase in the flow velocity. It has been also observed that the flow intensity becomes more important with an increase in the Weissenberg number, and the opposite occurs with an increase in the bioconvective Rayleigh number. As an effect of the Brownian motion, a random fluid particle’s motion is encountered.
- Open Access
- 31 August 2022
- Published by Akademia Baru Publishing in Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
- Vol. 97 (2) , 103-114
Unsteady Magnetohydrodynamic Flow of Second Grade Nanofluid (Ag-Cu) With CPC Fractional Derivative
Unsteady magnetohydrodynamics (MHD) flow of fractionalized second grade nanofluid (Ag-Cu) over a vertical plate is obtained. The model is solved by using CPC fractional derivative. The novelty of present study is to generalized the model by using Fourier’s and Fick’s laws. The nanofluids are formed by dispersing two different nanoparticles, silver (Ag) and copper (Cu), into a based fluid. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, second grade parameter and magnetic parameter M are discussed through numerous graphs. From figures, it is observed that second grade and magnetic field have decreasing effect on velocity profile, whereas mass Grashof number have increasing effect on velocity of fluid.
- 31 August 2022
- Published by Akademia Baru Publishing in Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
- Vol. 97 (2) , 103-114
Open AccessUnsteady Magnetohydrodynamic Flow of Second Grade Nanofluid (Ag-Cu) With CPC Fractional Derivative
Unsteady magnetohydrodynamics (MHD) flow of fractionalized second grade nanofluid (Ag-Cu) over a vertical plate is obtained. The model is solved by using CPC fractional derivative. The novelty of present study is to generalized the model by using Fourier’s and Fick’s laws. The nanofluids are formed by dispersing two different nanoparticles, silver (Ag) and copper (Cu), into a based fluid. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, second grade parameter and magnetic parameter M are discussed through numerous graphs. From figures, it is observed that second grade and magnetic field have decreasing effect on velocity profile, whereas mass Grashof number have increasing effect on velocity of fluid.