Article
Thermodynamics
Muhammad Waris Saeed Khan, Nasir Ali
Summary: This article investigates the Graetz problem for an inelastic power-law fluid with the effects of homogeneous slippery surface(s). The analysis predicts that interplay among the fluid characteristics, wall properties and dissipation effect can lead to an increase in the overall convective heat transfer, which is potentially useful in the manufacturing of bio-fluidic and microfluidic devices.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Chemistry, Physical
Muhammad Waris Saeed Khan, Nasir Ali
Summary: The study investigated the thermal entry flow problem for a Giesekus fluid model, obtaining both analytical and approximate solutions for velocity. The impact of mobility parameter and Weissenberg number on Nusselt numbers and temperature was discussed, showing that both parameters have a significant effect on fluid behavior. The comparison between approximate and exact solutions revealed a match for smaller values of parameters, but a deviation for larger values.
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
(2021)
Article
Engineering, Mechanical
Muhammad W. Saeed Khan, Zeeshan Asghar, Nasir Ali, Wasfi Shatanawi
Summary: This study solves the Graetz problem using the Rabinowitsch fluid model and examines the temperature variation in fluid flow. The temperature field is computed using the Matlab bvp4c function and Runge-Kutta method, and the impact of model parameters on mean temperature and Nusselt numbers is analyzed with various graphs.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING
(2023)
Article
Thermodynamics
Saima Afzal, Imran Siddique, Fahd Jarad, Rifaqat Ali, Sohaib Abdal, Sajjad Hussain
Summary: This manuscript explores the role of nanoparticles in micropolar and Carreau fluids, using the Cattaneo-Christov model to assess heat and mass diffusion phenomena. The study found that micropolar and Carreau fluids significantly affect the rheological properties of non-Newtonian fluids.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Thermodynamics
Irfan Saif Ud Din, Imran Siddique, Rifaqat Ali, Fahd Jarad, Sohaib Abdal, Sajjad Hussain
Summary: This study examined the impact of nonlinear heat radiation on the heat transmission evaluation of Carreau nanofluid and tangent hyperbolic nanofluid passing across a wedge with gyrotactic microorganisms, revealing differences in flow velocity and temperature behavior due to various factors such as viscous effects and thermophoresis. The skin friction factor for tangent hyperbolic nanofluid was found to be approximately half of that for Carreau nanofluid.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Mathematics, Applied
Hikmet Koyunbakan
Summary: This study examines the inverse problem of the conformable Sturm-Liouville problem SLP. The researchers define the problem with separable boundary conditions and provide some spectral properties. Using spectral data, they demonstrate that the potential and constants in the boundary conditions are the same for different problems. Additionally, they show that a symmetrical potential function can be uniquely determined with only one spectrum. The methods and calculations used here are similar to those in the SLP with classical derivative, making these results valuable in Sturm-Liouville theory.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Biomedical
Muhammad Waris Saeed Khan, Nasir Ali, O. Anwar Beg
Summary: The heat-conducting nature of blood and its importance in the human circulatory system and biomedicine are explored in this investigation. The classical Graetz problem in heat transfer is extended to a bio-rheological fluid model, specifically the Quemada model. Numerical solutions are obtained using MATLAB and compared with analytical approaches. The findings have potential applications in the development of microfluidic and biofluidic devices.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART H-JOURNAL OF ENGINEERING IN MEDICINE
(2022)
Article
Mathematics, Applied
Ahmed M. A. El-Sayed, Eman M. A. Hamdallah, Hameda M. A. Alama
Summary: This article investigates the existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition, and studies both the maximal and minimal solutions. It also considers the existence of multiple solutions for the nonhomogeneous Sturm-Liouville boundary value problem of a differential equation with nonlocal integral condition, as well as the eigenvalues and eigenfunctions.
Article
Physics, Multidisciplinary
Nasir Ali, Muhammad Waris Saeed Khan, Muhammad Sajid
Summary: This study investigates the Graetz-Nusselt problem in a curved channel, developing a solution using variable separation technique and numerical methods. The analysis reveals that curvature affects temperature profiles, mean temperature, and Nusselt numbers, with an attenuation in net heat transfer rate as curvature parameter increases. Additionally, the net heat transfer rate through the curved channel is significantly higher than for a straight channel, making this solution potentially valuable for biomedical, engineering, and industrial applications.
Article
Mathematics, Applied
Pavel Chigansky, Marina Kleptsyna
Summary: Current research on fractional Sturm-Liouville boundary value problems primarily focuses on qualitative theory and numerical methods, with recent progress in both areas. This paper explores a different approach by constructing explicit asymptotic approximations for solutions, providing sharp estimates for eigenvalues and eigenfunctions in a case study involving left and right Riemann-Liouville derivatives.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
(2021)
Article
Mathematics, Applied
Xijun Hu, Lei Liu, Li Wu, Hao Zhu
Summary: This paper explores the jump phenomena of eigenvalues in Sturm-Liouville problems and its relation to boundary condition paths. By determining the range of eigenvalues on different layers of boundary conditions, it is proven that the monodromy matrix tends towards the Dirichlet boundary condition.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics, Applied
Shapour Heidarkhani, Martin Bohner, Giuseppe Caristi, Farahnaz Ayazi
Summary: This paper presents conditions for the existence of at least three solutions for a second-order dynamic Sturm-Liouville boundary value problem with two parameters. The proofs utilize critical point theory and variational methods, and an example is provided to illustrate the results.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Hikmet Koyunbakan
Summary: This paper investigates the Sturm-Liouville problem with Dirichlet conditions in the case of time scales consisting of isolated points. The authors obtain a discrete Sturm-Liouville problem on a finite interval and provide a reconstruction formula for the potential function q, solving the inverse nodal problem.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2022)
Article
Physics, Multidisciplinary
Malgorzata Klimek, Mariusz Ciesielski, Tomasz Blaszczyk
Summary: This paper studies the fractional Sturm-Liouville problem with homogeneous Neumann boundary conditions. The differential problem is transformed into an equivalent integral problem in a suitable function space. Then, the integral fractional Sturm-Liouville problem is discretized, and the orthogonality of eigenvectors is discussed. Finally, numerical results for the problem are presented using the midpoint rectangular rule.
Article
Mathematics, Applied
Auwalu Sa'idu, Hikmet Koyunbakan
Summary: This article presents a proof of the Ambarzumyan theorem for a fractional derivative Sturm-Liouville problem and explores a general function that depends on the eigenvalue parameter under boundary conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Physics, Multidisciplinary
M. Waqas, Z. Asghar, W. A. Khan
Summary: Nanoliquids, created by diffusing nanometer-sized elements in base liquids, significantly enhance heat transport and thermal performance of heat exchanging systems. These liquids find applications in various fields and the study focuses on formulating and analyzing nanoliquid hydromagnetic flow in permeable convected cylinders. By considering rheological expressions, Buongiorno model, and nonlinear thermo-solutal buoyancy forces, the study delves into heat transport characteristics and provides convergent solutions.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Physics, Multidisciplinary
Zeeshan Asghar, Nasir Ali, Khurram Javid, Muhammad Waqas, Waqar Azeem Khan
Summary: This study investigates the motion characteristics of soft nano-robots in a fluid environment and their regulatory effects on the reproductive system. Key parameters such as the speed of active swimmers in the fluid and the work done by microorganisms are obtained, and numerical simulation and analytical solutions are used to study the dynamic equilibrium conditions.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Physics, Multidisciplinary
Khurram Javid, Zeeshan Asghar, Umer Saeed, Muhammad Waqas
Summary: Peristalsis, a dynamic phenomenon with significant potential in the biomedical domain, has attracted research attention due to its applications in medical and industrial fields. The study examines the rheology of biological fluid in a biomimetic channel, demonstrating the impact of porosity and non-Newtonian parameters on flow properties. Utilizing sinusoidal wave patterns to enhance peristaltic pump efficiency, the research highlights the dynamic role of porosity in enhancing pumping and the reduction of viscous effects by the couple stress parameter.
PRAMANA-JOURNAL OF PHYSICS
(2021)
Article
Computer Science, Artificial Intelligence
Ibrahim Atli, Metin Ozturk, Gianluca C. Valastro, Muhammad Zeeshan Asghar
Summary: This study proposes a Q-learning-based UAV placement strategy to meet long-term wireless connectivity needs while considering major constraints. The method effectively reduces energy consumption and increases the number of covered users. Compared to traditional clustering methods, the proposed solution outperforms in terms of user coverage and achieves energy minimization.
Article
Thermodynamics
D. Hussain, Z. Asghar, A. Zeeshan, Hamed Alsulami
Summary: The author discusses the sensitivity of pertained parameter for a two dimensional convective wedge flow of Newtonian fluid with varying viscosity and conductivity over a semipermeable wedge surface using the Response Surface Methodology (RSM). The obtained results are comparable to those in literature, and a correlation between responses and governing parameters is developed using Central Composite Design (CCD) in RSM. Detailed sensitivity analysis is performed for each response surface.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Engineering, Mechanical
Zeeshan Asghar, Muhammad Waris Saeed Khan, Muhammad Asif Gondal, Abuzar Ghaffari
Summary: The study investigates how electroosmotic flow and peristaltic pumping contribute to intracellular fluid flow. The study uses a non-Newtonian couple stress fluid model and a two-dimensional inclined channel with complex peristaltic walls. Numerical analysis reveals that the couple stress fluid flows with a higher velocity in the central region of the channel compared to Newtonian fluid, and the electro-osmotic parameter and Debye-Huckel length enhance fluid velocity in the lower half of the passage.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING
(2022)
Article
Physics, Multidisciplinary
Rehman Ali Shah, Zeeshan Asghar, Nasir Ali
Summary: The self-propelling mechanism of rod-shaped bacteria over complex rheological slime is vital. In this study, the fundamental mechanics of bacterial locomotion were investigated using an undulating surface model combined with the Ellis fluid model. The results showed the impact of hydrodynamic interactions on gliding speed, power, and energy consumption of the bacteria.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Engineering, Multidisciplinary
Zeeshan Asghar, Muhammad Waqas, Muhammad Asif Gondal, Waqar Azeem Khan
Summary: Theoretical analysis of electro-osmosis peristaltic flow of generalized Newtonian fluid bounded in a complex wavy divergent channel is performed, considering the Ellis fluid model. The flow equations are modelled using balances of mass and momentum and the body force term is introduced using the Poisson equation. Analytical and numerical solutions are presented, analyzing the influence of diverse rheological and electrical parameters on flow characteristics via plots.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Engineering, Multidisciplinary
Zaheer Asghar, Rai Sajjad Saif, Nasir Ali
Summary: This study investigates the boundary stresses prescribed by the traction boundary condition on an incompressible magnetohydrodynamic Jeffery-Hamel flow of viscous fluid. The governing equations are transformed to a nonlinear ordinary differential equation (ODE) and modified Adomian decomposition method is developed to solve the problem. Analytical and numerical results show that the presence of boundary stresses strengthens boundary layers and flow bifurcations.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Biophysics
Zeeshan Asghar, Rehman Ali Shah, Nasir Ali
Summary: This article introduces the classification and movement of bacteria, focusing on the simulation method of gliding bacteria movement. By simulating the flow of slime beneath the microorganisms, the flow rate, speed, and propulsion power are calculated, and the flow patterns and velocity are described using graphics and numerical values.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2022)
Article
Physics, Multidisciplinary
M. Waqas, Pongsakorn Sunthrayuth, Amjad Ali Pasha, Waqar Azeem Khan, A. Hobiny, Zeeshan Asghar
Summary: Entropy generation is a dominant tool for assessing energy dissipation and optimizing energy utilization. In this study, a time-dependent mathematical model is used to describe the non-linear radiation-based Sisko liquid under thermophoretic and Brownian movements, with Robin conditions and Prandtl's boundary-layer idea employed. Numeric outcomes are obtained and compared with published work, showing excellent agreement.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Z. Shah, M. A. Z. Raja, W. A. Khan, M. Shoaib, Z. Asghar, M. Waqas, T. Muhammad
Summary: This study presents a design of intelligent numerical computing using backpropagated neural networks (BNNs) for solving fluid mechanics problems involving magnetohydrodynamic fluidic model (MHD-NFM), porous medium, and heat source/sink. The original PDEs of the MHD-NFM model are transformed into nonlinear ODEs using similarity transformations. The proposed BNNs approach is trained, tested, and validated using a reference dataset generated with different scenarios of MHD-NFM. The results demonstrate the effectiveness of the proposed BNNs methodology.
INDIAN JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
M. Waqas, A. Ahmad, Z. Asghar, M. Irfan, W. A. Khan, M. Zubair
Summary: This study elaborates on non-linear convection and heat transfer effects in stretchable flow of Williamson fluid, addressing heat-mass transport attributes via improved mathematical formulas. By utilizing the concept of boundary-layer pioneered by Prandtl, non-linear problems are simplified and solved using homotopy algorithm, yielding convergent outcomes of ordinary systems. A detailed analysis of the physical importance of relevant variables is presented, and the obtained analytical results are compared with numerical/exact outcomes, showing reasonable agreement.
Article
Thermodynamics
Muhammad Waris Saeed Khan, Nasir Ali, Zeeshan Asghar
Summary: This article elaborates on the Graetz problem for the Robertson-Stiff fluid model with imposed iso-thermal conditions and obtains the closed-form expression of the fluid velocity. The energy equation is reduced into an eigenvalue problem and numerically solved using MATLAB. The impact of dissipation function on Nusselt numbers and mean temperature is considered, and the results show that the presence of plug radius and power-law index delays the prevalence of fully developed conditions for Nusselt number.
