Owing to the widespread practical significances of nanoparticles in thermal engineering and industrial processes, scientists are devoted to explore the more fundamental thermal aspects of such ...nano-materials. Recently, the nanoparticles show extensive applications in heat transfer improvement, energy production, cooling and heating processes, refrigeration, thermal extrusion processes, thermoelectric devices, bio-medical applications like cancer treatment, brain tumors and many more. Moreover, the phenomenon of bioconvection utilize interesting applications in bio-technology, bio-fuels, enzymes, fertilizes etc. Keeping such motivations in mind, this research presents the bioconvection flow of nanofluid induced by two stretchable disks separated at confined distance. The Buongiorno nanofluid model is employed to examine the Brownian motion and thermophoresis aspects. The equations govern for the flow of the nanofluid, heat transfer; nanoparticles concentration and density of motile microorganisms’ fields are simplified with the help of similarity transformation. The resultant form of nonlinear equations is solved by using homotopy analysis method. The influence of significantly participating parameters on velocity, nanofluid temperature, concentration and density of motile microorganisms profiles are observed with relevant physical significances. The convergence of solution for velocity, temperature, concentration and motile microorganisms profiles are examined carefully. The simulations are compared with already declared numerical data and found a convincible accuracy. It is noticed that the temperature profile enhances up to specified range and then start decline due to larger values of values of Brownian motion and thermophoresis parameters. A dual nature of velocity profiles for higher the value of stretching parameter has been observed. The concentration profile declines with increasing Brownian motion constant and Lewis number. The motile microorganisms profile decreases due to enhancement of bio-convection Peclet number, Reynolds number and Schmidt number.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
This research focuses on the analysis of the competitive model used in the banking sector based on the stochastic fractional differential equation. For the approximate solution, a pseudospectral ...technique is utilized for the proposed model based on the stochastic Lotka–Volterra equation using a wide range of fractional order parameters in simulations. Conditions for stable and unstable equilibrium points are provided using the Jacobian. The Lotka–Volterra equation is unstable in the long term and can produce highly fluctuating dynamics, which is also one of the reasons that this equation is used to model the problems arising in finance, where fluctuations are important. For this reason, the conventional analytical and numerical methods are not the best choices. To overcome this difficulty, an automatic procedure is used to solve the resultant algebraic equation after the discretization of the operator. In order to fully use the properties of orthogonal polynomials, the proposed scheme is applied to the equivalent integral form of stochastic fractional differential equations under consideration. This also helps in the analysis of fractional differential equations, which mostly fall in the framework of their integrated form. We demonstrate that this fractional approach may be considered as the best tool to model such real-world data situations with very reasonable accuracy. Our numerical simulations further demonstrate that the use of the fractional Atangana–Baleanu operator approach produces results that are more precise and flexible, allowing individuals or companies to use it with confidence to model such real-world situations. It is shown that our numerical simulation results have a very good agreement with the real data, further showing the efficiency and effectiveness of our numerical scheme for the proposed model.
The nanoparticles proved a motivating research area in the fourth generation of the world due to their extensive use in science and infrastructure, such as vehicle cooling, higher heat transfer rates ...in microchips, food manufacturing, biotechnology, biochemistry, transportation, metrology and nuclear reactors. Dispersing the nanoparticles within base fluid is a newly approach for implementations of heat transfer and biomedicine/bioengineering. The current determination is committed to explore the features of bioconvection in Carreau nanofluid flow under the influence of various thermal consequences. The flow is originated by a stretched cylinder. The characteristics of Cattaneo-Christov heat and mass flux are applied to examine the heat/mass transportation of nanofluid. The effects of thermal radiation and activation energy are also considered. The consequences of Brownian movement and thermophoresis features are analyzed by incorporating Buongiorno’s nanofluid model. The governing partial differential equations are transmuted into the structure of nonlinear ordinary differential equations by introducing suitable transformation. The shooting technique is used to achieve the numerical simulations of nonlinear system. The physical impacts of prominent parameters on velocity, temperature distribution, concentration field and microorganisms profile are examined and captured graphically. The numerical outcomes against various flow quantities are also presented in tabular form. The results convey that a higher temperature profile is observed with larger values of thermal Biot number, exponential base sink parameter and thermal relaxation parameter while a decrement in temperature is noticed with increasing mixed convection parameter. The concentration profile shows an increasing trend with mass concentration parameter and concentration relaxation parameter. Moreover, the microorganism field decline with Peclet number and bioconvection Lewis number.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
On the account of significance of bioconvection in biotechnology and several biological systems, valuable contributions have been performed by scientists in current decade. In current framework, a ...theoretical bioconvection model is constituted to examine the analyzed the thermally developed magnetized couple stress nanoparticles flow by involving narrative flow characteristics namely activation energy, chemical reaction and radiation features. The accelerated flow is organized on the periodically porous stretched configuration. The heat performances are evaluated via famous Buongiorno's model which successfully reflects the important features of thermophoretic and Brownian motion. The composed fluid model is based on the governing equations of momentum, energy, nanoparticles concentration and motile microorganisms. The dimensionless problem has been solved analytically via homotopic procedure where the convergence of results is carefully examined. The interesting graphical description for the distribution of velocity, heat transfer of nanoparticles, concentration pattern and gyrotactic microorganism significance are presented with relevant physical significance. The variation in wall shear stress is also graphically underlined which shows an interesting periodic oscillation near the flow domain. The numerical interpretation for examining the heat mass and motile density transfer rate is presented in tubular form.
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IZUM, KILJ, NUK, PILJ, PNG, SAZU, UL, UM, UPUK
The aim of this study is to investigate the dynamics of epidemic transmission of COVID-19 SEIR stochastic model with generalized saturated incidence rate. We assume that the random perturbations ...depends on white noises, which implies that it is directly proportional to the steady states. The existence and uniqueness of the positive solution along with the stability analysis is provided under disease-free and endemic equilibrium conditions for asymptotically stable transmission dynamics of the model. An epidemiological metric based on the ratio of basic reproduction is used to describe the transmission of an infectious disease using different parameters values involve in the proposed model. A higher order scheme based on Legendre spectral collocation method is used for the numerical simulations. For the better understanding of the proposed scheme, a comparison is made with the deterministic counterpart. In order to confirm the theoretical analysis, we provide a number of numerical examples.
In this paper, we investigate numerically a stochastic delayed SIRS model with exponential structure and saturated incidence. A Legendre collocation method which convert the given model to a ...nonlinear algebraic system of equations is applied for the approximate solution. The general dynamics of the model is analyzed for relatively small noise and it is shown that large noise will cause the eradication, which will control the spreading of the disease further. Stability of the endemic equilibrium with delay is analyzed with imposing some conditions on the intensity of the noise for both stochastic and deterministic SIRS models. Some numerical test are performed to justify the mathematical conclusions.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
This review article focuses on the impact of working fluid characteristics, geometrical parameters and the operating coefficients in thermal efficiencies of direct absorption solar collectors ...(DASCs). Regarding working fluid parameters, the review emphasized the importance of type of base fluid, nanoparticle properties, such as material, size, concentration and shape. Geometrical parameters, including the collector area, aspect ratio, tube diameter and collector panel design, were identified as crucial design considerations for maximizing DASC efficiency. Additionally, the review highlighted the significance of various operating parameters. Solar irradiance was identified as a critical factor, emphasizing the importance of optimizing the collector's orientation and tilt angle to maximize solar exposure. The fluid flow rate within DASCs was also recognized as a key parameter influencing heat transfer and overall performance. Increasing the thermal flow measurement of nanomaterials has been predicted to improve the heat transfer, ultimately leading to improved thermal efficiency. By carefully considering and optimizing these parameters, it is possible to maximize the efficiency and effectiveness of DASCs, thereby advancing the utilization of solar energy for sustainable and renewable power generation.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
Abstract
In this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical ...reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE’s) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.
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IZUM, KILJ, NUK, PILJ, PNG, SAZU, UL, UM, UPUK
In this study, we have discussed thermophoresis particle deposition effects under the action of both pressure and buoyant forces flow of magneto-Walter’s B nanofluid induced by a stretched surface. ...The Buongiorno nanofluid model is employed to analyze the dynamic impact of thermophoretic dispersion and Brownian motion. The effects of chemical reaction, Joule heating and non-linear radiation relations are also incorporated. The analysis has been performed in view of solutal and heat convective boundary constraints. The analytical technique namely homotopy analysis scheme followed to solve the resulting non-linear governing equations. The behavior of velocity, temperature and concentration profiles are observed graphically. The physical consequences for all physical parameters are justified. It is noted that heat thermal Biot number, thermophoretic constant and viscoelastic parameter increases the nanofluid temperature and concentration. A decaying concentration profile is noted for Schmidt number.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
The performance of energy transportation via implementation of nanoparticles is a hot research area in the modern technological and industrial development era. The boundary-driven Maxwell nanofluid ...flow over magnetized stretched sheet. The process of bio-convection is accounted under mass and energy transportation. The thermal conductance and activated energy aspects are taken into account. The model is organized by implementing the boundary-layer assumptions. Then, the non-dimensional constraints are utilized to re-construct the mathematical problem. The well-known shooting scheme is incorporated to express the results of problems. The graphical illustrations are reported for the behavior analysis of distinct parameters on quantities of physical and practical importance. The microorganism is augmented due to enlargement in Deborah and magnetic numbers values. An augmentation in temperature is achieved against the incremented thermophoresis and bio-convection constraints.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
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