Article
Thermodynamics
Priyanka Agrawal, Praveen Kumar Dadheech, R. N. Jat, Kottakkaran Sooppy Nisar, Mahesh Bohra, Sunil Dutt Purohit
Summary: This study presents a computational simulation of 2-D gamma - AL(2)O(3) nanofluid flow over a stretching surface, comparing water and ethylene glycol based gamma - AL(2)O(3) nanofluids. Results indicate that the ethylene glycol based nanofluid is more significant in the cooling process.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Thermodynamics
K. N. Sneha, U. S. Mahabaleshwar, Suvanjan Bhattacharyya
Summary: The current work investigates the flow of incline MHD and Casson fluid with a mixed convective boundary layer using a hybrid nanofluid Cu-Al2O3/water over a stretching/shrinking sheet. The study analyzes the characteristics of an Al2O3-Cu/H2O hybrid nanofluid on the stretching/shrinking sheet through numerical methods. The effects of various parameters on the flow are analyzed using graphical representations. The research shows that the hybrid nanofluid enhances the heat transfer process and has extensive industrial applications.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
Article
Mathematics
K. N. Sneha, U. S. Mahabaleshwar, Mohsen Sharifpur, Mohammad Hossein Ahmadi, Mohammed Al-Bahrani
Summary: The study investigates the effect of magnetohydrodynamics (MHD) flow on entropy generation analysis and thermal radiation for carbon nanotubes (CNTs) via a stretched surface through a magnetic field. It analyzes the influence of variables such as carbon nanotube type, magnetic field, and Eckert number on heat transfer and entropy formation. The results show that different regulating parameters play a significant role in determining velocity and temperature profiles.
Article
Thermodynamics
U. S. Mahabaleshwar, K. N. Sneha, A. Chan, Dia Zeidan
Summary: This research focuses on the magnetohydrodynamics (MHD) flow and heat transfer of carbon nanotubes in the boundary layer. The velocity and temperature profiles are examined using different physical parameters and can be solved analytically. The results show that positive values of magnetohydrodynamics flow give stable profiles compared to negative values, and the thickness of the thermal boundary layer increases as the volume fraction of carbon nanotubes increases.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
A. S. Warke, K. Ramesh, F. Mebarek-Oudina, A. Abidi
Summary: This study investigates the two-dimensional magnetohydrodynamic flow of a viscous magnetomicropolar liquid through an extending area, considering the impact of various parameters on velocity. It reveals that velocity is influenced by different liquid types.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2022)
Article
Thermodynamics
Nalivela Nagi Reddy, Vempati Srinivasa Rao, B. Ravindra Reddy
Summary: This study investigates the impact of viscous dissipation on free convection MHD flow through a porous medium over an exponentially stretching surface in the presence of a chemical reaction. Numerical solutions are obtained using the Keller-box method after converting the governing PDEs to non-linear ODEs. The study shows that increasing the Eckert number, Radiation, and Magnetic parameter (M) increases temperature profiles, while increasing the chemical reaction parameter, porosity, and Schmidt number decreases concentration profiles. Validation of the results through comparative study with previously published results shows good agreement.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Y. Dharmendar Reddy, B. Shankar Goud, Kottakkaran Sooppy Nisar, B. Alshahrani, Mona Mahmoud, Choonkil Park
Summary: This study numerically investigates the magnetohydrodynamic (MHD) heat transfer properties of an incompressible viscous fluid across a continuously expanding horizontal cylinder immersed in a porous material with internal heat production/sink. The governing partial differential equations are transformed into a collection of non-linear ordinary differential equations (ODEs) using similarity variables and numerically solved using the Keller-Box approach. The fluid velocity, temperature, friction factor, and rate of heat transfer are calculated. Graphs and tables illustrate the fluid velocity and heat transfer properties for various Prandtl numbers and magnetic parameters. The study aims to examine the effects of the magnetic field (M), Prandtl number (Pr), and heat absorption/generation factor (Q) on the velocity and temperature gradients along a stretching cylinder. It is projected that an increase in the curvature parameter and porosity factor enhances the temperature gradient in the boundary layer region around the cylinder.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Thermodynamics
M. Riaz Khan, Mohamed Abdelghany Elkotb, R. T. Matoog, Nawal A. Alshehri, Mostafa A. H. Abdelmohimen
Summary: This article investigates the unsteady radiative two-dimensional stagnation point flow of a Casson fluid along a stretching and shrinking sheet, dependent on mixed convection, convective condition, and the slip condition. The study reveals that friction and heat transfer rates are influenced by various parameters, with heat generation parameter affecting the heat transfer rate. The research findings are deemed innovative and can pave the way for future analyses of non-Newtonian fluids.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Article
Mathematics
Rusya Iryanti Yahaya, Norihan Md Arifin, Ioan Pop, Fadzilah Md Ali, Siti Suzilliana Putri Mohamed Isa
Summary: This paper investigates the flow of nanofluids over a permeable stretching/shrinking surface and their impact on heat transfer performance. The study found that the thermal conductivity of nanofluids is enhanced with the increase of the heat source parameter. Cu/H2O nanofluid exhibits better heat transfer performance compared to other nanofluids.
Article
Multidisciplinary Sciences
Umar Farooq, Madeeha Tahir, Hassan Waqas, Taseer Muhammad, Ahmad Alshehri, Muhammad Imran
Summary: This research investigates the three-dimensional flow of hybrid nanofluid and its heat and mass transfer enhancement mechanisms. The effects of homogeneous-heterogeneous processes and thermal radiation are considered. Numerical results show the effects of different controlling parameters on velocity, temperature, and concentration distribution.
SCIENTIFIC REPORTS
(2022)
Article
Physics, Applied
C. M. Mohana, B. Rushi Kumar
Summary: This study investigates the effects of different nanoparticle shape factors on magnetohydrodynamic boundary layer flow and heat transfer over a stretching sheet. Suitable nanoparticles can control velocity and heat transfer. A magnetic field and porosity decrease velocity, while radiation and heat source/sink increase temperature. The Eckert number and porosity also improve temperature. Increasing nanoparticle volume fraction leads to a decrease in Nusselt number and an increase in skin friction. Among the nanoparticle shapes considered, platelet-shaped nanoparticles show the best flow and heat transfer performance. The results obtained are consistent with previous studies.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Thermodynamics
Ubaidullah Yashkun, Khairy Zaimi, Nor Ashikin Abu Bakar, Anuar Ishak, Ioan Pop
Summary: This study investigates the heat transfer characteristics of MHD hybrid nanofluid over a linear stretching and shrinking surface with suction and thermal radiation effects. The study finds that the heat transfer efficiency of the hybrid nanofluid is greater than the nanofluid, and dual solutions exist for a specific range of the stretching/shrinking parameter. Additionally, the skin friction coefficient and local Nusselt number increase with suction effect, and suction and thermal radiation widen the range of the stretching/shrinking parameter for which solutions exist.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2021)
Article
Thermodynamics
T. Anusha, U. S. Mahabaleshwar, Suvanjan Bhattacharyya
Summary: This article focuses on the MHD flow and heat transfer of a Jeffrey fluid on a stretching/shrinking surface with carbon nanotubes. The effects of thermal radiation, heat source/sink parameters, and Navier's slip are considered. By suspending two types of carbon nanotubes into water, a new type of nanofluid is formed to improve the thermal conductivity and mechanical properties of the base fluid. The study observes and discusses the velocity and temperature profiles, skin friction coefficient, and Nusselt number through graphs. The results show that the usage of SWCNT nanofluids is more advantageous than MWCNT nanofluids, and carbon nanotubes have potential applications in electronics and transportation.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
Article
Mathematics, Applied
K. Veera Rddy, G. Venkata Ramana Reddy, Ali Akgul, Rabab Jarrar, Hussein Shanak, Jihad Asad
Summary: The dynamics of chemically reactive and thermally conducting Casson nanofluid flowing past an elongated sheet was investigated numerically in this study. It was found that increasing the visco-inelastic parameter and the magnetic parameter leads to a degradation of velocity profiles. Additionally, an increase in the magnetic parameter results in a decrease in the distribution of velocity. The effects of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours were also discussed. The boundary layer distributions deteriorate as the unsteadiness parameter is increased.
Article
Chemistry, Multidisciplinary
Angadi Basettappa Vishalakshi, Thippaiah Maranna, Ulavathi Shettar Mahabaleshwar, David Laroze
Summary: The current article focuses on the 3-D MHD fluid flow under a magnetic field with an inclined angle, and proposes the use of a porous sheet to improve the results. By transforming the governing PDEs into ODEs and solving the energy equation with various controlling parameters, the exact solutions of the highly non-linear differential equations for the flow are obtained. These results can be visualized using graphical arrangements and have practical applications in automotive cooling systems, microelectronics, heat exchangers, etc.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics, Applied
Mohammad Prawesh Alam, Arshad Khan, Dumitru Baleanu
Summary: In this paper, a high-order numerical method is studied to approximate multi-term time-fractional diffusion equations. The method is shown to be stable and convergent, and its accuracy and efficiency are validated through numerical simulations.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2023)
Article
Computer Science, Artificial Intelligence
Zulqurnain Sabir, Mohamed R. Ali, Muhammad Asif Zahoor Raja, R. Sadat, Dumitru Baleanu
Summary: The present study introduces a novel heuristic computing design for solving the second kind of Three-point singular boundary value problems (TPS-BVPs) by combining Feed forward Gudermannian neural networks (GNN) with Genetic algorithms (GA) and Active-set method (ASM). The proposed intelligent computing solver, FF-GNN-GAASM, is integrated into the hidden layer structure of FF-GNN systems, optimizing the error based Merit function (MF) with the hybrid-combined heuristics of GAASM. The performance of FF-GNN-GAASM is evaluated through statistical assessments, demonstrating consistent stability, accuracy, and convergence.
EVOLUTIONARY INTELLIGENCE
(2023)
Article
Engineering, Multidisciplinary
Muhammad Jawaz, Muhammad Aziz-Ur Rehman, Nauman Ahmed, Dumitru Baleanu, Muhammad Sajid Iqbal, Muhammad Rafiq, Ali Raza
Summary: This work investigates disease dynamics and numerical modeling for the delay diffusion infectious rabies model. It considers a non-linear diffusive rabies model with a delay count and describes the parameters involved. Equilibrium points are determined and their role in studying disease dynamics is identified. The basic reproduction number is also studied. The solution's existence is ensured using the Schauder fixed point theorem and uniqueness is established. A finite difference method is introduced and its stability is analyzed using the Von-Neumann method. The consistency of the method is examined using Taylor's expansion approach. The numerical test example and computer simulations investigate the important aspects of the proposed numerical device, including the effect of tau on infected individuals. A fruitful conclusion of the study is presented.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
(2023)
Article
Mathematics
R. Rajagopalan, Abass H. Abdel Kader, Mohamed S. Abdel Latif, Dumitru Baleanu, Amr El Sonbaty
Summary: In this paper, the variable coefficients KdV equation with general power nonlinearities is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to convert the equation into a generalized ordinary differential equation. A classification is given for the obtained equation using an integrating factor, and new solutions are obtained for the equation. All the solutions obtained in this paper are new.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
(2023)
Article
Mathematics
Manickam Jayapriya, Anumanthappa Ganesh, Shyam Sundar Santra, Reem Edwan, Dumitru Baleanu, Khaled Mohamed Khedher
Summary: This study investigates the Hyers-Ulam stability of nth order differential equations using the Sawi transform, aiming to derive a generalized stability result for linear homogeneous and non-homogeneous differential equations.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
(2023)
Article
Automation & Control Systems
Muhammad Tariq Ali, Dumitru Baleanu, Muhammad Rafiq, Jan Awrejcewicz, Nauman Ahmed, Ali Raza, Muhammad Sajid Iqbal, Muhammad Ozair Ahmad
Summary: Human immunodeficiency viruses are lentiviruses that infect humans and can cause acquired immunodeficiency syndrome. These viruses likely originated from chimpanzees in Central Africa and have spread across Africa and later to other parts of the world. The study examines the effect of immigrants on HIV/AIDS dynamics and proposes a non-standard finite difference method as a numerical solution for modeling the disease.
INTELLIGENT AUTOMATION AND SOFT COMPUTING
(2023)
Article
Physics, Applied
Tukur A. Sulaiman, Abdullahi Yusuf, Ali S. Alshomrani, Dumitru Baleanu
Summary: The novel wave profiles for the (2+1)-dimensional Boussinesq equation are established using the powerful Sardar sub-equation technique. The explanations for several physical difficulties have been studied in depth. These technological advancements have proven to be beneficial for long-wave and high-power communications networks. The circumstances that led to the emergence of these solutions are described in detail. The physical characteristics of the governing equation have been depicted using contour plots and three-dimensional figures.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Mathematics, Applied
Sayooj Aby Jose, Raja Ramachandran, Dumitru Baleanu, Hasan S. Panigoro, Jehad Alzabut, Valentina E. Balas
Summary: This paper presents a mathematical model for dynamic systems of substance addiction using the ABC fractional derivative. The stability of the equilibrium points and the basic reproduction number are investigated. The theoretical results of solution existence and uniqueness for the proposed model are verified using fixed point theory and nonlinear analytic techniques. A numerical technique is established to obtain the approximate solution of the model, and numerical graphs corresponding to different fractional orders are provided. Furthermore, a numerical simulation is conducted to study the transmission of substance addiction in scenarios with different basic reproduction numbers.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Dumitru Baleanu, Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Eman Al-Sarairah, Thabet Abdeljawad, Y. S. Hamed
Summary: This paper focuses on the analytical and numerical convexity analysis of discrete delta Riemann-Liouville fractional differences. In the analytical part, a new definition for the discrete delta Riemann-Liouville fractional difference is proposed and a formula for delta(2) is established. The correlation between the positivity of ((RL)(w0)delta(alpha)f)(t) and the convexity of the function is examined. Two decreasing subsets H(k,E) and M-k,M-E are defined based on basic lemmas to obtain the relationship between the negative lower bound of ((RL)(w0)delta(alpha)f)(t) and convexity of the function on a finite time set N-w0(P).
JOURNAL OF INEQUALITIES AND APPLICATIONS
(2023)
Article
Nanoscience & Nanotechnology
J. Leo Amalraj, M. Maria Susai Manuel, Dumitru Baleanu, D. S. Dilip
Summary: This research aims to discuss the existence, global stability, periodicity, and bifurcation analysis of a modified version of the ecological model proposed by Tilman and Wedlin [Nature 353, 653-655 (1991)].
Article
Thermodynamics
Priyanka Agrawal, Praveen Kumar Dadheech, Ram Niwas Jat, Dumitru Baleanu, Sunil Dutt Purohit
Summary: The objective of this study is to investigate the flow of MHD Casson fluids through an exponentially stretching surface. The free convective flow is studied in a thermally stratified porous medium, where viscosity and thermal conductivity vary with temperature. Natural convection is induced due to the exponential decay of internal heat generation and buoyancy force. The transformed equations of the flow, obtained by applying suitable similarity solutions, are solved using the Shooting Technique in conjunction with the fourth order Runge-Kutta method. The results show that an increase in the viscosity parameter leads to an increasing velocity profile, but a decreasing temperature field in the entire domain and near the wall for temperature gradient profile. On the other hand, an increase in the Casson fluids parameter leads to a decreasing velocity profile and an increasing temperature field in the entire domain and near the wall for temperature gradient profile.
Article
Engineering, Multidisciplinary
Sanjay Bhatter, Kamlesh Jangid, Shyamsunder Kumawat, Sunil Dutt Purohit, Dumitru Baleanu, D. L. Suthar
Summary: In this study, we investigated calcium fluctuations in cellular environments using the Hilfer fractional advection-diffusion equation. We simulated calcium signalling with different buffers, including calcium-binding buffers, and set limits and start conditions. The results showed that the modified Hilfer calcium model, considering time, position, and the Hilfer fractional derivative, provided a richer physical explanation than the classical calcium model.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
(2023)
Article
Mathematics, Applied
Yasemin Basci, Dumitru Baleanu
Summary: In this manuscript, we discuss various new Hilbert-Pachpatte type inequalities that imply the left sided psi-Hilfer fractional derivatives with a general kernel. Our results generalize the inequalities of Pecaric and Vukovic. Additionally, by considering the limits of the parameters alpha and beta and selecting specific cases of the psi-Hilfer fractional derivative, we explore a wide class of fractional derivatives.
Article
Mathematics, Interdisciplinary Applications
Zulqurnain Sabir, Dumitru Baleanu, Muhammad Asif Zahoor Raja, Ali S. S. Alshomrani, Evren Hincal
Summary: This study designs Meyer wavelet neural networks (WNNs) for the numerical solutions of the spread of computer virus with kill signals (SEIR-KS system). The SEIR-KS system is optimized using Meyer WNNs in combination with genetic algorithm (GA) and sequential quadratic (SQ) programming, referred to as Meyer WNNs-GASQ programming. A sigmoidal-based log-sigmoid function is used as the activation function, with 10 neurons and 120 variables. The correctness and reliability of the proposed Meyer WNNs-GASQ programming is validated through comparison with reference numerical solutions and statistical analysis.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Mathematics, Interdisciplinary Applications
Zulqurnain Sabir, Dumitru Baleanu, Muhammad Asif Zahoor Raja, Ali S. Alshomrani, Evren Hincal
Summary: The aim of this study is to design a novel stochastic solver using Morlet wavelet neural networks (MWNNs) for solving the mathematical Layla and Majnun (LM) system. The numerical representations of the system are optimized using a hybrid of global and local search schemes. The correctness and stability of the MWNNs are evaluated through comparison with a reference solution and statistical performance analysis.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
