Article
Mathematics
Bagh Ali, Rizwan Ali Naqvi, Amna Mariam, Liaqat Ali, Omar M. Aldossary
Summary: This study investigates the unsteady flow and enhanced thermal transportation of Carreau nanofluids on a stretching wedge, considering various factors such as heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions. Numerical solutions are obtained using the finite element method coded in Matlab, with parametric computations for different stretching speeds. The results show that certain parameters have a significant impact on flow velocity and temperature distribution in the boundary layer region.
Article
Thermodynamics
Bagh Ali, Thirupathi Thumma, Danial Habib, Nadeem Salamat, Saleem Riaz
Summary: This study investigates the transient magnetohydrodynamic three-dimensional rotating flow of Maxwell and tangent hyperbolic nanofluid past a bidirectional stretching sheet using finite element analysis. The effects of thermophoresis and Brownian motion are considered in the flow equations, and similarity transformations and the finite element method are applied for numerical solutions. The findings are important for applications in plastic films, crystal growing, paper production, and cooling of metal sheets.
THERMAL SCIENCE AND ENGINEERING PROGRESS
(2022)
Article
Thermodynamics
Muhammad Amjad, M. N. Khan, Kamran Ahmed, Iftikhar Ahmed, Tanvir Akbar, Sayed M. Eldin
Summary: This article presents a numerical study on the flow of tangent hyperbolic nanofluid across an exponentially stretched sheet. The effect of heat transfer in two situations, prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF), is considered. Tangent hyperbolic nanofluid is widely used in cooling electronic components and has improved thermal conductivity, which helps dissipate heat more effectively.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Physics, Applied
Priya Bartwal, Himanshu Upreti, S. R. Mishra, Alok Kumar Pandey
Summary: This study investigates the behavior of tangent hyperbolic fluid flow over a rotating disk, taking into account factors such as Ohmic heating, thermal radiation, viscous dissipation, and heating due to porous media. The bvp4c numerical method is used to solve the governing equations, and the impact of various parameters on velocity and temperature distributions is analyzed through graphs. The results show that increasing porosity leads to higher heat transfer in the case of no rotation, but significantly retards it when rotation is present. The study is validated by comparing the results with previous published work.
MODERN PHYSICS LETTERS B
(2023)
Article
Multidisciplinary Sciences
Iftikhar Ahmed, Metib Alghamdi, Muhammad Amjad, Faisal Aziz, Tanvir Akbar, Taseer Muhammad
Summary: This research investigates the 2D MHD incompressible boundary layer flow of a Hyperbolic Tangent nanofluid across a non-linear stretching plate. The governing partial differential equations are converted into coupled ordinary differential equations using similarity transformations. Numerical solutions for the dimensionless velocity, temperature, and concentration profiles are obtained using the bvp4c routine in MATLAB. The results are validated with published results and the effects of important parameters on the profiles are presented.
Article
Engineering, Electrical & Electronic
Mario Lucido, Fulvio Schettino, Gaetano Panariello
Summary: This article introduces a method for analyzing electromagnetic scattering from a thin resistive disk, which guarantees fast convergence of the matrix equation by introducing new unknowns and discretizing the integral equation using eigenfunctions. Numerical results demonstrate the effectiveness of the proposed method through comparisons with commercial software.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
(2021)
Article
Thermodynamics
Abdul Hafeez, Masood Khan, Jawad Ahmed
Summary: The study investigates the magnetized flow of an Oldroyd-B fluid by a rotating disk, using a modified Fourier's law to study the fluid thermal characteristics and considering homogeneous-heterogeneous reactions for mass transport. The von Karman variables are utilized to convert partial differential equations into non-dimensional ordinary differential equations, and the BVP Midrich scheme is used to obtain numerical solutions. Various effects of different parameters on the velocities, temperature, and concentration of the liquid are analyzed, and a comparison table is created to verify the numerical results.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Chemistry, Multidisciplinary
Yingzi Jiang, Juan Zhang, Thabet Abdeljawad, Shafiq Ahmad, Muhammad Naveed Khan, Aysha Rehman, Abdulrazak H. Almaliki, Ahmed S. El-Shafay
Summary: The effect of Stefan blowing on the Cattaneo-Christov characteristics of the Blasius-Rayleigh-Stokes flow of self-motive Ag-MgO/water hybrid nanofluids with convective boundary conditions and a microorganism density is investigated in this study. The mathematical models are transformed into self-similarity equations and solved numerically to study the fluid flow, energy, and mass transfer features under different parameter values. The results show that the increase in certain parameters has a positive influence on the liquid velocity and boundary layer thickness.
Article
Thermodynamics
Najiba Hasan Hamad
Summary: In this study, we numerically analyze the influence of gyrotactic microbes on the flow of nonlinearly elongating nanofluid over a surface in magnetohydrodynamics. We observe the effects of magnetic field, thermal conductivity, heat source/sink, and thermal radiation on the flow. The results show that the Rayleigh number and Brownian motion accelerate the energy field, while the mass dissemination rate increases with activation energy but decreases with chemical reactions.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
Article
Thermodynamics
Bo Xie, Yuan-Ming Wang
Summary: This paper discusses the heat transfer process of stagnation-point flow of power-law magneto-hydro-dynamical fluid over a stretching surface with modified convective heat transfer boundary condition. The study found that higher viscosity restricts heat transfer and both velocity gradient and temperature gradient play an indispensable role in the heat transfer process. The velocity profiles converge to stagnation parameter values and larger power-law index enhances momentum diffusion while causing a decline in heat flux.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2022)
Article
Thermodynamics
Usman, Waqar Khan, Irfan Anjum Badruddin, Abuzar Ghaffari, Hafiz Muhammad Ali
Summary: The study investigates the steady slip flow and heat transfer of tangent hyperbolic fluid over a lubricating surface of the stretchable rotatory disk, considering the effects of MHD, nonlinear radiation, and non-uniform heat source/sink subject to nonlinear boundary conditions. The results show that with enhanced slip at the interface and Weissenberg number, radial and azimuthal velocities increase near the disk, while the power-law index exhibits two different trends. Additionally, temperature rises with the radiation parameter, particularly prominently for nonlinear radiation.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Thermodynamics
Yu Bai, Lamei Huo, Yan Zhang
Summary: This study investigates the unsteady stagnation-point flow and heat transfer of fractional Maxwell fluid on a time power-law-dependent stretching plate. Interesting findings include the influence of fractional derivative parameters on velocity and temperature, as well as the thermal retardation effect of Maxwell fluid. The research provides a theoretical basis for industrial processing by extending the unsteady stagnation-point flow model of Maxwell fluid to include fractional derivatives.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2021)
Article
Metallurgy & Metallurgical Engineering
M. N. Abrar, Salah Uddin, Kamran Akhtar
Summary: This study numerically studies the micro-rotation effects of tangent hyperbolic hybrid nanofluid past a porous sheet. It incorporates multiple flow and thermal phenomena and achieves a numerical solution through similarity variables and the Runge-Kutta-Fehlberg 45 method. The results show that higher volume percentage of silver and copper nanoparticles can improve the thermal conductivity of the flowing fluid, and the hybrid nanofluid has a significant role in various engineering applications.
JOURNAL OF CENTRAL SOUTH UNIVERSITY
(2023)
Article
Physics, Multidisciplinary
Bagh Ali, Muazzam Ali, Iqra Saman, Sajjad Hussain, Asmat Ullah Yahya, Imdad Hussain
Summary: This paper examines the enhanced thermal transportation and mixed convection of tangent hyperbolic nano fluid flow in the stagnation region of a rotating sphere in the presence of a magnetic field. The incorporation of nano-sized particles, which enhance thermal transport in the base fluid, plays an important role in modern nanotechnology. Numerical calculations show that certain parameters can affect the flow and temperature of the fluid.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Physics, Applied
Nargis Khan, Muhammad Zeeshan, M. S. Hashmi, Mustafa Inc
Summary: This study focuses on the combined influences of variable thermal conductivity, chemical reaction, and magnetohydrodynamics (MHD) on the flow of a tangent hyperbolic nanofluid flow over an exponentially stretching surface, considering a first-order velocity slip condition. The governing equations are transformed into non-dimensional differential equations and solved numerically using the shooting technique. The results highlight the significance of different fluid parameters on the velocity, temperature, and concentration profiles. The fluid velocity profile increases with the enhancement of the We and M values, while the thermal and concentration profiles are affected by Nt, Rd, Qt, and Nb.
MODERN PHYSICS LETTERS B
(2023)
Article
Engineering, Multidisciplinary
Chendrayan Dineshkumar, Velusamy Vijayakumar, Ramalingam Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar
Summary: This paper investigates the existence and approximate controllability of fractional stochastic Volterra-Fredholm integro-differential systems with 1 < r < 2. By applying concepts and ideas from fractional calculus, multivalued maps, the theory of cosine family, Martelli and Dhage, and Leray-Schauder fixed point techniques, the primary outcomes are obtained. The existence and approximate controllability of the considered system are emphasized, and the approximate controllability outcomes for the system with infinite delay are determined. An application is also established to draw theoretical conclusions.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Multidisciplinary
Amjad Ali Pasha, Mustafa Mutiur Rahman, Wasim Jamshed, Khalid Ahmed Juhany, S. Nadaraja Pillai
Summary: This study analyzes the extended two-hybrid nanofluid models, particularly focusing on the Casson fluid with a combination of Ethylene Glycol and two different nanoparticles (CoFe2O4 and Mn-Zn Fe2O4). The fluid flows in a rotating cone system, and its properties are influenced by various factors such as slipping boundary conditions, porous media, and buoyancy. Ordinary differential equations (ODEs) are derived using similarity transformations and solved numerically using the Galerkin finite element method (GFEM). The results show the velocity and thermal dispersion in different directions, as well as the effects of regulating parameters on friction coefficients and the Nusselt number.
AIN SHAMS ENGINEERING JOURNAL
(2023)
Article
Physics, Applied
Muhammad Shoaib, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Asif Waheed, Muhammad Awais, Mehreen Saleem, Saba Kainat
Summary: This study investigates the Falkner-Skan stream of ZnO-EG across a moving wedge using artificial neural networks with a Bayesian regularization strategy. The Falkner-Skan partial differential equations are converted into a set of ordinary differential equations. The effects of practical cut off points on the stream field and temperature profiles, as well as the presence of nanoparticles and changes in Falkner-Skan power, are examined. The performance of the artificial neural network model is validated using mean square error data, error histograms, and regression analysis.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Applied
Hina Gul, Muhammad Ramzan, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, Mohamed Abbas, C. Ahamed Saleel, Seifedine Kadry
Summary: This study aims to analyze the two-dimensional incompressible, steady MHD-mixed convective nanofluid flow with homogenous-heterogeneous reaction and Cattaneo-Christov heat flux past a rotating cone. The uniqueness of the presented model is the consideration of the surface-catalyzed reaction while considering the hh reactions on the surface of the cone in the existence of a permeable medium. The numerical model of these governing equations is solved using the MATLAB bvp4c package and the results are compared with the published study.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Mathematics, Applied
Fahd Jarad, Soubhagya Kumar Sahoo, Kottakkaran Sooppy Nisar, Savin Treanta, Homan Emadifar, Thongchai Botmart
Summary: In this study, the Jensen-Mercer (J - M) inequality for convex stochastic processes is examined using a new fractional integral operator. The combination of convex stochastic processes, the J - M inequality, and a fractional integral operator with an exponential kernel opens up new directions in inequality theory. Estimations of Hermite-Hadamard-Mercer (H - H - M)-type fractional inequalities involving convex stochastic processes are presented. A novel identity for differentiable mappings in the context of the new fractional integral operator is investigated, leading to a new related H - H - M-type inequality. Applications to special means and matrices are also discussed. These findings have significant implications for optimization and mathematical programming problems.
JOURNAL OF INEQUALITIES AND APPLICATIONS
(2023)
Article
Engineering, Multidisciplinary
Hakeem Ullah, Kashif Ullah, Muhammad Asif Zahoor Raja, Muhammad Shoaib, Kottakkaran Sooppy Nisar, Saeed Islam, Wajaree Weera, Nuha Al-Harbi
Summary: This study investigates the unsteady-two-dimensional squeezing flow of magnetohydrodynamic Jeffrey fluid between two parallel plates and explores the heat transfer characteristics using the Cattaneo-Christov heat flux model and Artificial Neural Network.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Engineering, Multidisciplinary
V. Vijayaraj, C. Ravichandran, Panumart Sawangtong, Kottakkaran Sooppy Nisar
Summary: In this article, the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space is studied. The results are obtained using Martelli's fixed point theorem and q-resolvent operators. An example is provided to illustrate the theoretical result.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Thermodynamics
Sadique Rehman, Wasim Jamshed, Mohamed R. Eid, Kashif Irshad, Amjad Ali Pasha, Salem Algarni, Sayed M. El Din, Talal Alqahtani
Summary: Mineral oil plays a crucial role in various manufacturing, technological, and industrial processes. This study focuses on the exact solution of unsteady convective flow of a Maxwell nanofluid with radiation and uniform heat flux. Nanoparticles of Al2O3 are suspended in mineral oil to form a homogeneous nanofluid solution. The governing equations are transformed into dimensionless form, and the Laplace transform method is used to obtain the solutions for energy and momentum profiles. The effects of different dimensionless variables and parameters on the solutions are analyzed, and a comparison between Newtonian and Maxwell fluids is presented.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Mathematics, Interdisciplinary Applications
Kottakkaran Sooppy Nisar, Muhammad Farman, Evren Hincal, Aamir Shehzad
Summary: Smoking is considered an epidemic due to the high mortality rate and significant costs associated with it. This study focuses on utilizing the hybrid fractional differential operator to analyze the dynamics of a fractional order quitting smoking model. The research reveals that smoking is the third leading cause of death among humans and the most preventable cause of illness.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Shuguang Li, C. Rajashekhar, K. S. Nisar, Fateh Mebarek-Oudina, H. Vaidya, M. Ijaz Khan, K. V. Prasad, H. Balachandra, G. Manjunatha
Summary: The study investigates and analyzes the peristaltic mechanism of a non-Newtonian Ree-Eyring liquid considering the influence of variable liquid properties and heat transfer. The model incorporates long wavelength and low Reynolds approximations and employs regular perturbation technique to solve the resulting nonlinear partial differential equations. The magnetic field plays a crucial role in determining the fluid flow behavior, while the variable liquid properties significantly impact the temperature profiles. This research enhances our understanding of peristalsis in Ree-Eyring liquids and has potential implications in various technical and medical applications.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Thermodynamics
Ali Imran, Muhammad Shoaib, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Ayman Zahra, Zulqurnain Sabir
Summary: Scraped surface heat exchanger (SSHE) is widely used in various industries to improve energy efficiency and facilitate energy transfer between fluids. This study investigates the steady isothermal flow of a rheological aqueous ionic solution in a narrow gap SSHE, establishing a mathematical model using lubrication approximation theory and extracting analytical solutions. Exact analytical expressions are obtained for velocities, volume fluxes, pressure gradients, pressure at the edges of the blades, and stream functions at different stations of the SSHE. Various plots reveal the impact of significant flow parameters on the aforementioned variables. It is observed that increasing the ratio of relaxation to retardation time parameter and Helmholtz Smoluchowski velocity improves the velocity profile in the main flow domain, while the electro-osmotic parameter impedes the flow.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Physics, Multidisciplinary
Muhammad Jawad, Mubeen Alam, Kottakkaran Sooppy Nisar
Summary: This study investigates the implementation of tangent hyperbolic nanofluid past a bidirectional stretchable surface, examining the phenomena of heat and mass transfer and the effects of joule heating, chemical reaction and thermal radiation. The study analyzes the influence of prominent parameters on velocity, temperature and volumetric concentration distribution through numerical simulations and comparisons.
EAST EUROPEAN JOURNAL OF PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Muhammad Farman, Aqeel Ahmad, Anum Zehra, Kottakkaran Sooppy Nisar, Evren Hincal, Ali Akgul
Summary: Diabetes is a significant public health issue that affects millions of people worldwide. This study proposes a mathematical model to understand the mechanisms of glucose homeostasis, providing valuable insights for diabetes management. The model incorporates fractional operators and analyzes the impact of a new wave of dynamical transmission on equilibrium points, offering a comprehensive understanding of glucose homeostasis.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Mathematics, Applied
Kottakkaran Sooppy Nisar, Firdous A. Shah
Summary: This study aims to develop a numerical scheme based on Gegenbauer wavelets for solving fractional-order relaxation-oscillation equations. By introducing Gegenbauer wavelets and block pulse functions, an operational matrix is constructed to simplify the system into algebraic equations, which are then solved using the Newton method. The efficiency and accuracy of the proposed numerical scheme are demonstrated through several illustrative examples.
MATHEMATICAL SCIENCES
(2023)
Article
Mathematics, Applied
Bhupander Singh, Kottakkaran Sooppy Nisar
Summary: This paper theoretically investigates the thermal instability of magnetohydrodynamic couple stress nanofluid in a rotating porous medium. The dispersion relation is obtained and examined for stationary and oscillatory convection. The study analyzes the effect of various parameters on convection behavior.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
