Explore the vast range of titles available.

This study reports an incompressible electrically conducting Casson–Maxwell fluid flow confined across two uniformly stretchable disks. Buongiorno nanofluid model is implemented in the fluid flow. Cattaneo–Christov theory of double-diffusion is characterized through the heat and mass equations. Velocity, thermal and concentration slip conditions are executed at the lower stretchable disk. The flow model is dimensionalized through the similarity functions and then numerical solution is attained by RKF-45 scheme combined with shooting technique. The results of physical parameters are discussed by plotting the effects of such parameters on velocity, thermal and concentration fields. The results revealed that the Maxwell liquid is highly effected by Lorentz force than the Casson liquid. Thermal gradient of Maxwell liquid is highly influenced by stretching ratio parameter when compared to Casson fluid. Increase in Casson parameter and Deborah number declines the velocity gradient. Rise in the values of Brownian motion parameter declines the concentration gradient. Finally, the upsurge in thermal relaxation time parameter enhances the thermal gradient quickly in absence of thermal slip parameter.

The need for efficient thermal energy systems has gained significant attention due to the growing global concern about renewable energy resources, particularly in residential buildings. One of the biggest challenges in this area is capturing and converting solar energy at maximum efficiency. This requires the use of strong materials and advanced fluids to enhance conversion efficiency while minimizing energy losses. Despite extensive research on thermal energy systems, there remains a limited understanding of how the combined effects of thermal radiation, irreversibility processes, and advanced heat flux models contribute to optimizing solar power performance in residential applications. Addressing these knowledge gaps is critical for advancing the design and implementation of highly efficient thermal energy systems. Owing to its usage, this study investigates the thermal energy and irreversibility processes in the context of solar power systems for residential buildings. Specifically, it explores the influence of thermal radiation and the Cattaneo–Christov heat flux model, considering the interactions over a stretching surface. The study incorporates cross fluid and Maxwell fluid effects into the governing model equations. Utilizing the Galerkin-weighted residual method, the transformed model is solved to understand the impacts on heat distribution. The findings reveal that increased thermal radiation and thermal conductivity significantly enhance heat distribution, offering valuable insights for optimizing solar power system efficiency in residential applications.

This study scrutinizes the second law analysis in a mixed convective Maxwell fluid subject to the Marangoni flow with heat transport of nanofluid past a heated rotating disk in the presence of bioconvection. The energy equation has added the radiation and heat source/sink terms. A chemical reaction is taken into consideration when investigating mass transport. The model equations in the system of PDE's are transformed into ODE's through suitable transformation. The Homotopy analysis method and NDsolve are examined to solve the ODE's. The influences of various dimensionless variables on Bejan number, entropy generation, microorganism density, concentration, thermal distribution and velocity profile are inspected through appropriate graphs. The local Nusselt number, density of motile microorganisms, and Sherwood number are computed both numerically and graphically to establish correlations based on the pertinent key parameters. The results show that the velocity enhanced as the larger value of the mixed convective and Marangoni flow variable. In addition, Brikmann number boosts the entropy generation and Bejan number for the rotating disk. This discovery has implications for innovative bio-chromatography, food processing, membrane oxygenators and bio-chromatography.

The heat and mass transfer properties of a two-dimensional electrically conducting incompressible Maxwell fluid have been explored in the existence of, chemical reaction, heat generation/absorption, and thermal radiation. This was done by moving the fluid through a stretched sheet. Polymer extrusion and metal thinning are two instances of the vast importance of this topic from a practical standpoint. Using the appropriate similarity variables, it is feasible to non-dimensionalize the PDEs regulating the stream and their related boundary conditions. Fourth- and fifth-order Runge–Kutta–Fehlberg schemes are utilized to solve the resulting modified ODEs. The impact of the many thermo-physical parameters embedded in the system on the velocity, temperature, and concentration has been identified and quantitatively analyzed. When comparing our observations to those found in the literature, we find a lot of concordances when looking at case studies. The concentration distribution becomes more intense as the estimations of the chemical reaction parameter are improved, and the effect of thermal radiation is greater as the temperature rises. Thermophoresis is a transport force that arises when a temperature gradient exists. An increase in thermophoresis leads to a hotter surface since a thicker boundary layer means a higher temperature there.

Natural convective flows of Prabhakar-like fractional viscoelastic fluids over an infinite vertical heated wall are studied by introducing the generalized fractional constitutive equations for the stress-shear rate and thermal flux density vector. The generalized memory effects are described by the time-fractional Prabhakar derivative. Closed-form solutions for the non-dimensional velocity and temperature fields are determined using the method of integral transform. The velocity and heat transfer of Prabhakar-like fractional Maxwell fluids with generalized thermal transport are compared with ordinary Maxwell fluids with generalized thermal transport and with the ordinary viscoelastic fluids with classical Fourier thermal flux. Solutions of the generalized model are particularized into solutions corresponding to flows and heat transfer with Caputo memory, respectively, to flows of the ordinary fluids with ordinary heat transfer. The use of Prabhakar operators shows the possibility of a convenient choice of fractional parameters such that to have a very good fitting between theoretical and experimental data.

The combination of Maxwell fluids with hybrid nanostructures opens up the possibilities for novel energy-efficient systems that employ the advantage of hybrid nanofluids’ superior heat transfer capabilities, such as next-generation cooling systems for nuclear reactors or solar energy applications, advanced material development, improved process efficiency and innovation in thermal management and reaction control. Hence, the current article studies the effects of binary chemical reaction and multiple slips on MHD Maxwell hybrid nanofluid incorporating titanium dioxide and copper nanoparticles in water–ethylene glycol through a 2D stretching sheet with thermal radiation, viscous dissipation and non-uniform heat source or sink. A comprehensive behaviour of Maxwell hybrid nanostructure and Maxwell nanostructure is also investigated. Obtained dimensionless ordinary differential equations of the proposed model are solved by finite difference approach via bvp4c scheme in MATLAB. Computed numerical result revealed that Deborah number, magnetic parameter, thermal relaxation parameter, thermal radiation parameter, Eckert number, and space-dependent and time-dependent heat source/sink parameter tend to raise temperature profile. Maxwell hybrid nanostructure experiences more heat transfer, drag force and mass transfer than Maxwell nanostructure. The suspension of nanoparticles in the presence of magnetic field and slip condition on boundary has a significant application in enhancing the cooling system of electronics, sensors and drug delivery systems.

Analysis of thermal and solutal energy transport phenomena in Maxwell fluid flow with the help of Cattaneo–Christov double diffusion theory is performed in this article. Unsteady 2D flow of Maxwell fluid with variable thermal conductivity over the stretching cylinder is considered here. We formulate the partial differential equations (PDEs) under given assumptions for the governing physical problem of heat and mass transport in Maxwell fluid by using double diffusion of Cattaneo–Christov model rather than classical Fourier’s and Fick’s law. Numerical technique bvp4c is employed for the solution of ordinary differential equations (ODEs) which are obtained from governing PDEs under the appropriate similarity transformations. In the view of acquired results, we observed that for convenient results the values of unsteadiness parameter should be less than one. The higher values of Maxwell parameter declines the flow field but increase the energy transport in the fluid flow. Both temperature and concentration distributions in Maxwell liquid decline for higher values of thermal and concentration relaxation time parameter. Moreover, small thermal conductivity parameter also enhances the temperature field. The validation of results is proved with the help of comparison Table 1 with previous articles. The present results are found with help of bvp4c scheme and homotopy analysis method (HAM).

In this paper we propose a new model for the fractional Maxwell fluid within fractional Caputo-Fabrizio derivative operator. We present the fractional Maxwell fluid in the differential form for the first time. The analytical results for the proposed model with the fractional Losada-Nieto integral operator are given to illustrate the efficiency of the fractional order operators to the line viscoelasticity. nema

In this article, the Maxwell hybrid nanofluid flow passing over a pipe is discussed. We considered the base fluid as engine oil, while the hybrid nanofluids are copper and aluminum oxide. Irreversibility analysis and entropy generation have been examined, and the effects on physical parameters have also been examined. The mathematical model of this problem (nonlinear coupled equations) in cylindrical coordinates is solved by FEM. Began number and entropy generation are sketched for different values of parameters, and the effects of these parameters are discussed. The Deborah number is the measure of the elasticity of the fluid, and elasticity is the characteristics of the fluid due to which fluid avoids or tries to avoid momentum changes. Therefore, Deborah number has shown a decreasing behavior on the motion of the particles of both mono–nanoengine oil and hybrid nanoengine oil. Entropy generation is boosted when curvature is raised.

This work investigates the Maxwell fluid flow in the variable porous space of cone and disc influenced by double diffusion on a variable porous space. In this study, the heat and mass transfer is influenced by the combined effects of Fourier’s and Fick’s laws, leading to heat and mass flux assumptions proposed by Cattaneo-Christov to characterize these transfer phenomena. The modeled equations have been converted to dimensionless form by using a suitable set of appropriate variables. This set of dimensionless equations was then solved by using artificial neural networks (ANNs). For this, initially, HAM (homotopy analysis method) has been used for the evaluation of modeled equations, and then, to analyze the dynamics of flow, Levenberg Marquardt Scheme through Neural Network Algorithm (LMS-NNA) has been employed. The optimal performance of the fluid model is observed at the epoch 10, 08, 427, 164, 203, 146, 101, 130, 255, 298, 166, and 222. The proximity to unity is a pivotal observation in this work that has been signifying a high degree of precision in the LMS-NNA design for the proposed model. The porosity factor has opposed the primary velocity profiles and has supported the secondary velocity profiles. Moreover, primary velocity profiles have declined with growth in Maxwell factor while secondary velocity panels have retarded by the upsurge in the retardation time factor. Thermal distribution has been supported by progression in thermophoresis and Brownian motion factors and has been opposed by escalation in the Prandtl number. Concentration distribution has augmented with the upsurge in thermophoresis factor and has declined with the escalation in factor, Schmidt number, and concentration relaxation time factor. It has been also observed in this work that the variable porous space controls the fluid flow and maintains the stability of Maxwell fluid flow between the cone and disc apparatus. The maximum error for testing, training, and validation of the proposed model is achieved for all 12 cases and discussed numerically in tabular form.