Article
Engineering, Multidisciplinary
Abdul Kareem Abdul Jawwad, Muhammad Jawad, Kottakkaran Sooppy Nisar, Muhammad Saleem, Bassam Hasanain
Summary: The study focuses on the MHD boundary layer flow of Carreau nanofluid near a stagnation point, considering radiation, heat transfer, and chemical reactions. The nonlinear governing partial differential equations are transformed into nonlinear ODEs, and numerical results are obtained using a shooting technique and MATLAB bvp4c solver and Mathematica ND-solve built-in command. The effects of various physical parameters on velocity, temperature, and concentration profiles are discussed through graphs and tables.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Nasir Ali, Muhammad Waris Saeed Khan, Shahzad Saleem
Summary: The objective of this study is to investigate the boundary layer flow of Carreau fluid over a non-linear stretching curved surface. First, we derived the equation of motion for a two-dimensional curved surface using the Carreau constitutive relation. By using the well-known approximations of the boundary layer theory, we neglected higher and next-order terms. A similarity transformation was developed to reduce the partial differential equation to an ordinary differential equation (self-similar formulation). The numerical solution of the problem was obtained using the MATLAB built-in function bvp5c. The impact of the power-law index (n), Weissenberg number (We), and curvature parameter (k) on velocity profile and skin friction were analyzed through various graphs and tables. The obtained results were also validated using the shooting method with Maple software. The results indicate that increasing the dimensionless curvature parameter of the curved surface leads to an increase in both boundary layer thickness and velocity profile.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Multidisciplinary Sciences
Kotha Gangadhar, Manda Aruna Kumari, Ali J. Chamkha
Summary: The main objective of the study is to investigate the impact of Lorentz force and convective heating boundary on second-grade nanofluid flow alongside a Riga pattern. By utilizing mathematical modeling and theoretical analysis, the characteristics of nanoparticle flow and modern aspects of heat and mass transport are revealed. The scientific calculations obtained from the study may play a significant role in production processes and the improvement of energy and thermal resources.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
M. Naveed, M. Awais, Z. Abbas, M. Sajid
Summary: This paper focuses on the examination of mass and heat transfer on a time-dependent hydromagnetic flow of Carreau-nanofluid on a radially stretchable surface. The effects of thermophoresis parameter, Brownian motion, and chemical reactions on the flow, energy, and nanoparticle concentration are investigated using mathematical modeling and numerical solutions.
RICERCHE DI MATEMATICA
(2021)
Article
Thermodynamics
Faisal Shah, Tasawar Hayat, Ahmed Alsaedi
Summary: This research theoretically analyzes the collective effects of nanoparticle flow past a stretchable Riga wall, considering various factors influencing fluid flow and heat transfer, and introducing new models and conditions.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Physics, Multidisciplinary
K. Loganathan, Nazek Alessa, Safak Kayikci
Summary: The impact of heat-absorbing viscoelastic nanofluidic flow on a convectively heated porous Riga plate with double flux was analyzed. The study found that fluid velocities decrease with the development of viscoelastic and porosity parameters, while the liquid heat increases with the radiation parameter. Additionally, the nanoparticle volume fraction decreases with higher thermophoresis parameter, but increases with higher Brownian motion parameter.
FRONTIERS IN PHYSICS
(2021)
Article
Physics, Applied
Ram Prakash Sharma, S. R. Mishra, G. K. Panda, P. K. Pattnaik
Summary: This paper investigates the behavior of nanofluid considering thermal radiation, nanoparticle mass flux, and convective boundary conditions, and eliminates the dimensional form of the equations through transformation rules. The results show that the increase in Hartmann number leads to undercooling of the velocity profile and retardation of heat conduction, while enhanced thermophoresis attenuates the heat transfer rate.
MODERN PHYSICS LETTERS B
(2023)
Article
Thermodynamics
Ghulam Rasool, Abderrahim Wakif
Summary: This study investigates the impact of the Cattaneo-Christov model and convective boundary on second-grade nanofluid flow, as well as the influence of Lorentz forces generated by a Riga pattern. The research finds variations in horizontal movement, thermal distribution, and concentration distribution of nanoparticles for different fluid parameters. The results are obtained using a spectral local linearization method and reveal enhancements in horizontal movement for elevated modified Hartman factor values, as well as reductions in thermal state and nanoparticle concentration for incremental relaxation time parameters.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Thermodynamics
Sohail Nadeem, Shafiq Ahmad, Muhammad Naveed Khan
Summary: The current research focuses on discussing the induced magnetic field stagnation point flow of carbon nanoliquids influenced by specific slip conditions, with considerations for heat transfer phenomena and the effects of different parameters on flow and heat transfer performance. Numerical methods are used to analyze the flow characteristics and thermal behavior in the presence of an induced magnetic field and surface effects.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Mathematics
Nadhirah Abdul Halim, Fadiya Mohd Noor Noor
Summary: A study was conducted on the stagnation-point flow of Powell-Eyring nanofluid, taking into consideration the buoyancy force effect due to mixed convection, as well as the impact of Brownian motion and thermophoresis. Stagnation has a bigger influence under passive control of nanoparticles. Assisting flows exhibit better heat and mass transfer rates.
Article
Multidisciplinary Sciences
Wael Al-Kouz, Wahib Owhaib
Summary: This study investigates the heat transfer characteristics and three-dimensional flow of non-Newtonian Casson nanofluid over a stretching flat surface in a rotating reference frame. The study reveals that the Casson nanoliquid temperature is enhanced significantly due to the mechanisms of haphazard motion and thermo-migration. The momentum and thermal layer structures are affected by rotation, and the heat transfer rate is influenced by various factors such as rotation, viscous heating, and haphazard motion. The study provides insights into the heat transfer behavior of Casson nanofluid in a rotating system.
SCIENTIFIC REPORTS
(2022)
Article
Engineering, Multidisciplinary
Aysha Rehman, Azad Hussain, Sohail Nadeem
Summary: The influence of combined convection on heat transfer and pseudoplastic non-Newtonian nanofluid flow towards an extendable Riga surface is highlighted in this study using the Buongiorno model. The effects of various physical parameters on skin friction, mass transfer, and thermal energy are numerically computed. Parameters like modified Hartmann number, mixed convection, and width parameter impact the velocity fluctuations and temperature curve.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Thermodynamics
B. S. Dhruvathara, R. Padmavathi, K. Ganesh Kumar, Waseem Sharaf Saeed, Aqeel Afzal
Summary: This study investigates the steady and incompressible flow of a non-Newtonian micropolar fluid past an expanding sheet, considering the effects of mixed convection, EMHD, and velocity slip. MATLAB software is used to solve the resulting ordinary differential equations, and the influence of various parameters on velocity and temperature profiles is analyzed.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Engineering, Multidisciplinary
R. M. Akram Muntazir, M. Mushtaq, S. Shahzadi, K. Jabeen
Summary: The study investigated the flow properties of ferromagnetic fluid over a stretched sheet in the presence of a magnetic dipole, considering shear thinning and shear thickening fluids. Numerical solutions were obtained for highly nonlinear coupled partial differential equations using similarity transformations and the shooting method. The results showed that the concentration and thermal boundary layer thicknesses were higher for shear thinning fluids compared to shear thickening fluids, with reverse effects observed for momentum boundary layer thickness.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Environmental Sciences
Javali Kotresh Madhukesh, Vinutha Kalleshachar, Chandan Kumar, Umair Khan, Kallur Venkat Nagaraja, Ioannis E. Sarris, El-Sayed M. Sherif, Ahmed M. Hassan, Jasgurpreet Singh Chohan
Summary: Wastewater discharge is crucial in environmental management and industries to conserve water resources and adhere to environmental standards. This study analyzes the impact of pollutant discharge concentration using non-Newtonian nanoliquids over a permeable surface with thermal radiation. Two types of nanoliquids, second-grade and Walter's liquid B, are considered. The governing equations are obtained using boundary layer techniques and reduced to ordinary differential equations using similarity variables. The solutions are obtained using numerical techniques and the effects of dimensionless constraints are illustrated graphically. A comparative analysis between the two nanoliquids is presented, showing that velocity profiles decrease with the porous factor and thermal and concentration profiles are affected by radiation and pollutant source variation. The study also analyzes important engineering factors. The findings will aid in decision-making and planning to reduce pollution and protect the environment.
Article
Physics, Applied
Muhammad Ramzan, Naila Shaheen, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: This paper studies the flow of a chemical reactive Maxwell nanofluid in porous media, considering the temperature-dependent thermal conductivity and spinning cone conditions. The effects of various parameters on velocity, heat, and mass transfers are analyzed using numerical solutions and graphical representation.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Applied
Muhammad Ramzan, Hina Gul, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, Mohamed Abbas, C. Ahamed Saleel
Summary: Hybrid nanofluids (HNFs) are a new type of nanofluids with a wide range of applications. The behavior of Hamilton-Crosser (H-C) and Yamada-Ota (Y-O) HNF flow models past a stretching cylinder is explored in this study. The results show that the Y-O HNF flow model performs better and blade-shaped nanoparticles have a higher heat transfer rate.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Thermodynamics
Usman, S. Shaheen, M. B. Arain, Kottakkaran Sooppy Nisar, Ashwag Albakri, M. D. Shamshuddin, Fouad Othman Mallawi
Summary: The aim of this study is to investigate the heat transmission in ciliated channels of Williamson fluid under a magnetic field and porous medium, in order to understand the rheological characteristics of non-Newtonian fluids and improve heat transfer rates. A mathematical model was developed for the problem and solved using the Differential Transform Method (DTM). The effects of various parameters on the boundary layer distribution were analyzed through mathematical and graphical representations. The study found that conduction process enhances heat transfer through the molecules of the liquid, and increasing the number of pores increases the magnitude of the velocity profile. The findings of this study have significant applications in bioengineering, medical sciences, and medical equipment for the clearance of viscoelastic fluid from dust and viruses.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Mathematics, Interdisciplinary Applications
Rohul Amin, Kamal M. Shah, Muhammad Awais, Ibrahim Mahariq, Kottakkaran Sooppy Nisar, Wojciech Sumelka
Summary: This paper presents qualitative results on the existence and uniqueness of a solution to a third-order problem using a fixed point approach. A numerical solution technique based on Haar functions is applied to a third-order linear integro-differential equation with initial conditions. The method computes the third-order derivative using Haar functions and uses integration to obtain expressions for the second- and first-order derivatives, as well as an approximate solution. The validity of the proposed method is verified through examples from the literature, and error analysis and convergence rates are also discussed.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Physics, Applied
Muhammad Ramzan, Naila Shaheen, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: In this study, temperature-dependent Yamada-Ota and Xue hybrid nanoliquid models were used to investigate the thermal performance over a curved stretchable surface embedded in an absorbent media. The results showed that the modified Fourier law combined with temperature-dependent thermal conductivity, Newtonian heating, and variable heat source/sink can enhance the thermal performance. Additionally, it was observed that the fluid velocity decreases with an increase in the velocity slip parameter and increases with an increase in the curvature parameter. Moreover, the temperature field is enhanced with the conjugate parameter. The results are in good agreement with the existing literature.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Thermodynamics
Hanumesh Vaidya, Isaac Lare Animasaun, Kerehalli Vinayaka Prasad, Choudhari Rajashekhar, Javalkar U. Viharika, Qasem M. Al-Mdallal
Summary: The dynamics of blood carrying microscopic copper particles through overlapping stenotic arteries is an important research area, especially for understanding the flow dynamics in blood vessels. The study used the Casson model to analyze the peristaltic blood flow of copper nanoparticles in overlapping stenotic arteries. Higher temperature and velocity were observed in the stenosed arteries, with a decrease as it approaches the artery wall. The increase in the heat source parameter led to a higher temperature distribution.
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS
(2023)
Article
Mathematics, Applied
Saud Fahad Aldosary, Ram Swroop, Jagdev Singh, Ateq Alsaadi, Kottakkaran Sooppy Nisar
Summary: In this paper, the time-fractional Cauchy equation (TFCE) is analyzed using the q-homotopy analysis Shehu transform algorithm (q-HASTA) with convergence analysis. The q-HASTA is composed of the reduced differential transform algorithm (RDTA). The solution of TFCE is represented in series form using the q-HASTA scheme. The TFCE is transformed into algebraic form to efficiently find the general solution, providing a compact solution with minimized error. The key outcomes of this work are: (1) reducing the size of input parameters using RDTA, resulting in shorter solution time; (2) controlling the solution series to reduce the structure of the problem and classify the characterization of the solution, leading to finding the particular solution; (3) handling the approximate solution and absolute error approximation for the fractional model of the problem using the efficient q-HASTA scheme. These outcomes are illustrated with graphs and tables.
Article
Engineering, Multidisciplinary
Zizhen Zhang, Weishi Zhang, Kottakkaran Sooppy Nisar, Nadia Gul, Anwar Zeb, V. Vijayakumar
Summary: In this paper, a tuberculosis transmission model with vaccination and time delay is developed and analyzed for its positivity and boundedness. The local stability of tuberculosis-free equilibrium is studied with respect to the time delay due to the latent period of tuberculosis, and a threshold value for the local stability is found. Furthermore, the local stability of tuberculosis-existence equilibrium after the exhibition of Hopf bifurcation at the crucial value of the time delay is derived. The results provide significant information for controlling tuberculosis disease.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Engineering, Multidisciplinary
K. Kavitha, V. Vijayakumar, Kottakkaran Sooppy Nisar
Summary: The main focus of this article is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra-Fredholm integro-differential systems. Important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage's fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Thermodynamics
Ali Imran, Muhammad Asif Zahoor Raja, Muhammad Shoaib, Muhammad Zeb, Kottakkaran Sooppy Nisar
Summary: A novel theoretical model is proposed for the electro osmotic flow of a Williamson fluid model in a micro ciliated channel, taking into account heat transfer phenomena. The Poisson-Boltzmann equation is solved analytically to obtain expressions for the axial velocity, pressure gradient, temperature, and stream functions using a perturbation technique, while the transverse velocity and pressure rise profile are investigated numerically using MATHEMATICA software. The effects of various parameters on velocity distribution, temperature, pressure gradient, and pressure rise per wavelength are presented graphically. Additionally, cilia are found to play an important role in ductus efferentes, sperm transportation, and various drug delivery mechanisms.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Thermodynamics
Yasir Akbar, Shiping Huang, Muhammad Usman Ashraf, Kottakkaran Sooppy Nisar, Mohammad Mahtab Alam
Summary: The study proposes an optimized thermal frame for the electroosmosis optimized peristaltic transportation of reactive Powell-Eyring magneto-nanofluid with mass transfer. The application of electro-kinetic pumping enhances the effectiveness of smart pumps in nanotechnologies and medical uses. By evaluating the Buongiorno model, the thermal and mass characteristics of a nanofluid are obtained, revealing appealing aspects of thermophoretic diffusion and Brownian motion. The study investigates the flow of a non-Newtonian nano-fluid under the influence of variable thermal conductivity, chemical reactions, magnetic field, and mixed convection, and discusses the obtained results in detail. The findings show that electroosmotic and Joule heating parameters significantly improve the temperature of the Powell Eyring nanofluid, and the concentration profile develops with higher chemical reaction parameters.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Physics, Applied
Dhirendra Kumar, Pankaj Mishra, Kottakkaran Sooppy Nisar
Summary: This paper analyzes the problem of thermal and momentum transport with entropy generation in the field of Magneto hydrodynamics (MHD) micropolar fluid through porous medium. The study considers the non-Darcy model, temperature-dependent viscosity and thermal conductivity. The governing boundary layer flow equations are transformed into a system of ordinary differential equations (ODE) using similarity transformations. The effects of microrotation, magnetic field, variable viscosity coefficient, and variable thermal conductivity on momentum and thermal transport are depicted through graphs.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(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
Physics, Particles & Fields
S. K. Maurya, Abdelghani Errehymy, Ksh. Newton Singh, Nuha Al-Harbi, Kottakkaran Sooppy Nisar, Abdel-Haleem Abdel-Aty
Summary: In this paper, we present a novel approach to solving the Einstein-Gauss-Bonnet field equations by introducing an anisotropic model using a dark matter density profile. We utilize the gravitational decoupling method introduced by Ovalle to obtain solutions for the spherically symmetric structure of stellar bodies. The physical validity, stability, and equilibrium of the solutions are examined, and we demonstrate how the dark matter component and the GB constant affect the physical characteristics of various compact objects using a M-R diagram.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Mathematics, Applied
Kottakkaran Sooppy Nisar, Kasilingam Munusamy, Chokkalingam Ravichandran, Sriramulu Sabarinathan
Summary: This work examines the existence and continuous dependence of an integral solution for neutral integro-differential equations with a nonlocal condition. The result is established using an integrated resolvent operator under conditions of Lipschitz continuity and uniqueness through the Banach fixed point technique. The existence of a strict solution on reflexive and general Banach spaces is also studied. An example related to this theory is provided in the last section.
