This manuscript is devoted to investigate the mathematical model of fractional-order dynamical system of the recent disease caused by Corona virus. The said disease is known as Corona virus ...infectious disease (COVID-19). Here we analyze the modified SEIR pandemic fractional order model under nonsingular kernel type derivative introduced by Atangana, Baleanu and Caputo (
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) to investigate the transmission dynamics. For the validity of the proposed model, we establish some qualitative results about existence and uniqueness of solution by using fixed point approach. Further for numerical interpretation and simulations, we utilize Adams-Bashforth method. For numerical investigations, we use some available clinical data of the Wuhan city of China, where the infection initially had been identified. The disease free and pandemic equilibrium points are computed to verify the stability analysis. Also we testify the proposed model through the available data of Pakistan. We also compare the simulated data with the reported real data to demonstrate validity of the numerical scheme and our analysis.
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This paper discusses the development of two different bi-phase flows. Fourth-grade fluid exhibiting the non-Newtonian fluid nature is taken as the base liquid. Two-phase suspension is obtained by ...using the spherically homogeneous metallic particle. Owing to the intense application of mechanical and chemical multiphase flows through curved and bent configurations effectively transforms the flow dynamics of the fluid. Differential equations for electro-osmotically driven fluid are modeled and solved with the help of the regular perturbation method. The obtained theoretical solution is further compared with the ones obtained by using two different numerical techniques and found to be in full agreement.
Nanofluid is treated as a smart fluid that is useful for heat and mass transfer enhancement, which is paramount in several electronics, biomedical, transportation as well as industrial applications. ...In view of this, in the current analysis we scrutinize the flow of nanofluid over a curved stretching sheet. The noted novelty of this work is to discuss the heat and mass transfer in nanofluid flow along with the activation energy. Further, CuO with water-based nanofluid is considered in the modelling. The viscosity and effective thermal conductivity of fluid flow suspended by nanoparticles are scrutinized by Koo–Kleinstreuer–Li (KKL) model. By employing suitable similarity transformations, the governing equations of momentum, thermal and concentration of nanoparticle are converted into ordinary differential equations and then they are solved with Runge–Kutta-Fehlberg-45 (RKF-45) process along with shooting method. The impact of pertinent non-dimensional parameters is attained and illustrated with the help of graphs. The results reveal that, the heightening of Biot number and curvature parameter heightens the thermal gradient. The mass transfer decreases as the Schmidt number and chemical reaction rate parameter increases. The upsurge in activation energy parameter declines the mass transfer.
A wear-resistant EPD layer of TiCsub (i.e. sub micrometer titanium carbide) was synthesized by pressureless infiltration sintering. EPD is an ideal technique to form a porous layer that could be ...thickness modulated by easily change of applied voltage/current. Full melt spreading of NiCrBSiFe on TiCsub EPD layer and suppression of TiCsub grain growth can be achieved by substituting TiCsub with core-shell structure of NiP electroless plated on TiCsub. In an infiltrated layer, lowering of TiCsub pushing by solidification front hence homogeneous distribution of TiCsub along with eliminating porous TiCsub solid skeletons are essential factors to improve the wear properties. Wear measurement results showed decrement in friction coefficient of NiCrBSiFe (0.29–0.17), amplitude of acoustic emission signals and wear coefficient (variation between 10−5 and10−6) by embedding TiCsub into the NiCrBSiFe layer. It is postulated that melt infiltration of an EPD layer is a practical way to clad wear-resisting layers on the surface.
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•Utilizing electrophoretic deposition (i.e. EPD) and melt infiltration as a novel method to distribute homogeneous and high volume fraction of TiCsubmic in NiCrBSiFe cladding.•Improvement of melt spreading on EPD layers by using core-shell structures of TiCcore@Ni-Pshell.•HRTEM microstructure and wear studies (scratching and pin-on disk) of melt infiltrated EPD layers.
•Impact of thermophoretic particle deposition and magnetic dipole is considered.•Numerical solution is obtained using RKF-45 process by adopting Shooting method.•Rise in values of ferromagnetic ...interaction parameter decays the velocity profile.•Rise in values of ferromagnetic interaction parameter increases the mass transfer.
The current analysis explores the impact of thermophoretic particle deposition and magnetic dipole in the flow of Maxwell liquid over a stretching sheet. Using suitable transformations, the modelling equations are changed into a system of ordinary differential equations (ODEs). Finally, the Runge Kutta Fehlberg 45 (RKF 45) process with shooting technique is then utilized to solve these equations numerically. The impact of relevant parameters on flow fields, heat and mass transfer along with skin friction, Sherwood number, thermophoretic diffusive deposition velocity and Nusselt number are studied and discussed in detail using graphical representations. Results reveal that, the improvement in ferromagnetic interaction parameter value deteriorates the velocity gradient but improves heat and mass transfer. Also, when compared to Maxwell fluid, the heat transfer characteristics of Newtonian liquid is sturdily affected and decays faster for boost up values of both thermophoretic parameter and thermophoretic coefficient. The escalating values of Schmidt number and Maxwell parameter progresses the thermophoretic diffusive deposition velocity but, converse trend is depicted for escalation values of thermophoretic parameter.
This study investigates a fractional-order time derivative model of non-Newtonian magnetic blood flow in the presence of thermal radiation and body acceleration through an inclined artery. The blood ...flow is formulated using the Casson fluid model under the control of a uniformly distributed magnetic field and an oscillating pressure gradient. Caputo-Fabrizio's fractional derivative mathematical model was used, along with Laplace transform and the finite Hankel transform technique. Analytical expressions were obtained for the velocity of blood flow, magnetic particle distribution, and temperature profile. These distributions are presented graphically using Mathcad software. The results show that the velocity increases with the time, Reynolds number and Casson fluid parameters, and diminishes when Hartmann number increases. Moreover, fractional parameters, radiation values, and metabolic heat source play an essential role in controlling the blood temperature. More precisely, these results are beneficial for the diagnosis and treatment of certain medical issues.
Highlights • Cognitive deficits are part of clinical profile of childhood absence epilepsy. • Cognitive deficits have also been reported in animal models of absence epilepsy. • Cognitive functions ...and cell injury/death in the brain of WAG/Rij rats were studied. • Cognitive deficits were accompanied by a higher cell injury/death in WAG/Rij rats. • Seizure-induced cell injury/death may underlie cognitive deficits in absence epilepsy.
In this manuscript, we study novel exact solutions of the extended shallow water wave equation of (2+1)-dimensions. To acheive the exact solutions the Hirota bi-linear approach is utilized. The ...first, second, third and fourth order solitons are presented. Further, the fission or fusion of the first to fourth order solitons are also presented which are obtained with the help of consideration of different dispersion coefficients as zeros. Similarly, lumps and other their interactions with some new combinations of trigonometric and hyperbolic functions. The solutions are graphically presented with help of MATLAB R2020a.
•The bilinear form is obtained with the transformation v = 2(ln(Ω))x.•First to fourth order kink solitons are obtained with auxiliary functions.•Considering certain dispersion coefficients as zero, the solitons are degenerated.•The fission of kinks is observed where more kinks than the order of solitons•The lumps and their interactions with other solitons are studied.
To assure correct patient care and lower pharmaceutical mistakes that might cause serious harm or death, this research introduces a microfluidic heating flowmeter for tracking injectable pumping ...based on a mechanically pulsating heat exchanger. It is impossible to use the usual gravimetric approach for flow-rate measurement in clinics because it necessitates extensive preparations and laboratory equipment. Consequently, there is a huge need for a standard technique substitute that can be used for distant, frequent, small-scale infusion-pump surveillance. Here, to give precise measurements, the research presents a downsized heated flowmeter made of a silicon platform, a platinum heating layer atop a silicon dioxide thin membrane, and polymer microchannels. A microfluidics temperature compensation and tracking method is suggested in this research. Based on this architecture, the research put forth a heat transmission concept in which the researchers looked at the regional correlations among the macro-scale temperature detector and the microscale liquids. The accuracy of temperature management for microscale reagents was demonstrated using a series of temperature-sensitive nucleic acid multiplication experiments. The efficacy of the heat transport model is further confirmed by comparisons of mathematical and empirical data. The isothermal multiplication polymerase chain reaction temperature-related minor fluctuations in fluorescence intensity could be identified with the aid of the compensatory method that was given. If the amplifying temperature differs by 1 °C, the likelihood density plots of fluorescence intensity are significantly different from one another. This technique is useful for micro–macro-interaction monitoring generally and extends beyond microfluidic purposes.
