This paper conducts an extensive comparative analysis of numerical methods employed in modeling blood flow through arteries with Magnetohydrodynamics (MHD) and hybrid nanofluids. The study investigates the effectiveness precision distinct approaches: Akbari Ganji’s Method (AGM), Fourth-Order Runge–Kutta (RK4), Finite Volume (FVM), Element (FEM). These are essential for comprehending intricate fluid dynamics that arise presence magnetic fields nanofluids a phenomenon relevant numerous medical...

This study addresses the solution of differential equations converted into stochastic with introduction a noise term. To simplify complexity, we employ transformation, converting ordinary equations. The well-established Tanh-Coth method is then applied for analytical solutions to resulting Graphical representations are presented, providing insights system's dynamics. proposed methodology offers robust approach tackle challenges posed by stochasticity in efficacy handling nonlinearities...

The investigation of Computational Fluid Dynamics (CFD) focuses on the mechanical properties a Rabinowitsch fluid model that was constructed with help stenosed elliptic conduit using well-known Finite Volume Method (FVM). If you are interested in studying physiology or biomedicine, will find peristalsis is very helpful. This because it used to move blood around heart and lungs, as well sanitary transport systems, transfer corrosive fluids innovative pharmaceutical delivery systems. By...

Abstract The dynamic analysis of complex mechanical systems often requires the application advanced mathematical techniques. In this study, we present a variation iteration-based solution for pendulum system coupled with rolling wheel, forming combined translational and rotational system. Furthermore, Lagrange multiplier is calculated using Elzaki transform. under investigation consists attached to wheel that rolls without slipping on horizontal surface. motion creates both degrees freedom....

Cardiovascular illnesses are a primary global health concern because they frequently brought on by arterial stenosis. The complicated hemodynamics of blood flow via elliptically shaped arteries with numerous stenotic lesions along their top and bottom walls examined in this paper. Carreau fluid model is used Navier–Stokes equations study. complete comparative study done using the Finite Element Volume Methods. This uses commercial software to examine velocity, pressure temperature...

This paper examines nonlinear partial differential equation (PDE) solutions. Scientists and engineers have struggled to solve equations. Nonlinear equations arrive in nearly all problems nature. There are no well-established techniques for solving equations, efforts been made enhance approaches a specific class of problems. Keeping this mind, we shall investigate the perturbation method’s efficiency PDEs. Several work well diverse issues. We recognize that there may be several solutions...

A heat exchanger is a device that transmits energy from one object to another, or within the same object. Examples of include boiler, an oven and cooker. Experimental techniques for testing these devices make it more costly time-consuming. Consequently, computational fluid dynamics (CFD) can manage systems their performance with ease. The actual impacts what being examined may then be predicted computationally which yields precise output approximate results. designed geometry includes...

With the help of commercial software, we have discussed novel numerical simulations for a two-dimensional rectangular cavity with two square rotating obstacles, Fig. 1, that has fixed dimensions from reference point (0, 0) placed in it, and interpreted detailed convection analysis fluid flow highlights physical, mathematical aspects this system. The obstacles having an anti-clockwise rotation are heated to certain temperature, respectively, where behavior distribution depends upon values...

This paper presents an analytical solution for a complex mechanical system consisting of pendulum with rolling wheel, which combines translational and rotational motion. The system’s dynamics are described by set coupled differential equations that challenging to solve analytically using traditional methods. To overcome this challenge, the variation iteration method (VIM) is employed derive solution. VIM powerful technique allows approximate constructing series iteratively. Lagrange...

Abstract This article focuses on the exact periodic solutions of nonlinear wave equations using well-known Jacobi elliptic function expansion method. method is more general than hyperbolic tangent The are found this which contains both solitary and shock solutions. In paper, new results computed closed-form solution including or obtained corresponding compared with actual results. visualised behaviour described in detail. waves to break time, whereas, be improved continuously time.

This study investigated fluid flow and forced convective heat transfer in rectangular microchannels with square barriers, as illustrated Fig. 1 . In the first situation, three obstacles were positioned along microchannel’s top wall. second scenario, bottom final example, are placed symmetrically on either side of microchannel With help Finite Element Method (FEM), we investigate physicochemical behavior microchannel. The development computer code within COMSOL multiphysics made it possible...

This study investigates the electroosmotic flow and thermal transport of nanofluids, specifically aluminum oxide titanium dioxide, within tapered arteries with stenosis. Using finite difference method (FDM), we modeled dynamics heat transfer mechanisms under assumption low Reynolds numbers mild The focuses on effects nanoparticle volume fraction, absorption parameters, forces blood flow, velocity profiles, temperature distribution. Results show that increasing concentration significantly...

The current research is concerned with the mechanical characteristics of a Rabinowitsch fluid model that has been developed via an elliptic duct. If we study physiology or biomedicine, will find in peristalsis very useful because it used to move blood around heart, lungs, sanitary transport systems, transfer corrosive fluids, and innovative pharmaceutical delivery systems. It possible get domain for this duct by using Cartesian coordinates, boundary conditions duct, equation ellipse keep...

Practically speaking, fluid flow in round and noncircular nozzle is a very regular occurrence. The cold hot water used our homes delivered to us via pipes. Water throughout the city large pipe networks. Large pipelines carry natural gas oil hundreds of kilometres from one place another. During operation an engine, cooling carried by hoses radiator’s pipes, which it cooled as travels. Experimentally, we detected results model because there no restriction on application experimental research...

In this study, we look at the solutions of nonlinear partial differential equations and ordinary equations. Scientists engineers have had a hard time coming up with way to solve Almost all nature’s puzzles that aren’t linear. There any well-known ways equations, people tried improve methods for certain type problems. This doesn’t mean, however, can be solved. With in mind, we’ll how well variation approach works solving DEs. Different problems solved by using different methods. We agree...

This paper presents a model of doubly clamped electrically actuated microbeam, which is commonly used structure in microelectromechanical systems (MEMS). The based on Euler–Bernoulli beam theory and includes the effect electrostatic forces beam’s deflection. electric field modeled using parallel plate capacitor model, deflection calculated Galerkin method. behavior microbeam subjected to van der Waals force, weak intermolecular force that arises from interaction between nearby surface....

In numerous real-world applications, transverse vibrations of beams are nonlinear in nature. It is a task to solve beam systems due their substantial dependence on the 4 variables system and boundary conditions. To comprehend vibration characteristics, it essential do precise parametric analysis. This research demonstrates an approximation solution for odd even vibrating using Laplace-based variation iteration method, formulation depends Galerkin approximation. For differential equation,...

Abstract The Painlevé equations and their solutions occur in some areas of theoretical physics, pure applied mathematics. This paper applies natural decomposition method (NDM) Laplace (LDM) to solve the second-order equation. These methods are based on Adomain polynomial find non-linear term differential approximate solution is determined series form, recursive relation used calculate remaining components. results compared with existing numerical literature demonstrate efficiency validity...

A computer model of heat transmission in a square cavity was created order to have better understanding the consequences. Temperature differences between top and bottom walls are what cause convection, whereas remaining left right remain adiabatic do not contribute process (unheated). In provide an accurate estimate two-dimensional steady flow inside cavity, novel finite volume (FV) method that incorporates adaptive upwind convection is applied. Due natural convection’s widespread use...

In this paper, nanoparticles of cobalt oxide (Co 3 O[Formula: see text] are prepared at different temperatures [Formula: text]C, text]C and using the hydrothermal method. Cobalt nitrate hexahydrate: Co (NO[Formula: text]H 2 O is used as precursor potassium hydroxide (KOH) precipitating agent. Particle size controlled concentration. It also investigated in research that particle increases high-temperature. Nanoparticles between (13.62–17.81 nm) obtained technique (Hydrothermal method). SEM...

For the purpose of constructing exact periodic solutions nonlinear wave equations, it has been proposed to use a method known as Jacobi elliptic function expansion method. This is more general than hyperbolic tangent It demonstrated that obtained using this contain both solitary and shock in some instances.

Quaternion differential equations (QDEs) are a new kind of which differ from ordinary equations. Our aim is to get the exponential matrices for QDE useful finding solution quaternion-valued equations, also, we know that linear algebra very calculate matrix but not space. Due noncommutativity quaternion, set right free module. For this, must read some basic concepts on Quaternions such as eigenvalues, eigenvectors, Wronskian and difference between quaternion complex eigenvalues eigenvectors;...

To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy more extensive than expanding hyperbolic tangent series. approach can produce shock wave such as solitary solutions.

Abstract In this article, a well-known technique, the variational iterative method with Laplace transform, is used to solve nonlinear evolution problems of simple pendulum and mass spring oscillator, which represents duffing equation. iteration (VIM), finding Lagrange multiplier an important step, theory often for purpose. This paper shows how transform can be find in simpler way. gives easy approach scientists engineers who deal wide range problems. Duffing equation solved by different...

This paper introduces a groundbreaking method, Homotopy-based Fourier transform, integrating transform and Homotopy perturbation for refined nonlinear problem-solving. The modification enhances solution technique efficiency, notably accelerating convergence, particularly in solving the Korteweg–de Vries equation. Demonstrating versatility, method effectively addresses ordinary partial differential equations, showcasing its applicability across diverse mathematical scenarios. Moreover,...