The present study examines the impact of unsteady viscous flow in a squeezing channel. Silver–gold hybrid nanofluid particles with different shapes are inserted in the base fluid engine oil. Flow and ...heat transfer mechanism is detected in the presence of magnetohydrodynamics between the two parallel infinite plates. The thermal conductivity models, that is, Yamada–Ota and Hamilton–Crosser models are used to investigate various shapes (Blade, platelet, cylinder, and brick) of hybrid nanoparticles. The model is made up of paired high nonlinear partial differential equations that are then transformed into ordinary differential equations which are coupled and strong nonlinear using the boundary layer approximation. The MATLAB solver bvp4c package is used to solve the numerical solution of this coupled system. The influence of different parameters on the physical quantities is addressed via graphs. A comparison with already reported results is given in order to confirm the current findings. The analysis shows that surprisingly the Yamada–Ota model of the Hybrid nanofluid gains high temperature and velocity profile than the Hamilton–Crosser model of the hybrid nanofluid. Also, both the models show increasing trends toward increasing the volume fraction rate of silver‐gold hybrid nanoparticles. It is also inferred that the hybrid‐nanoparticles performance is far better than the common nanofluids.
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Mixed convection is a mechanism of heat transport in a thermodynamic system in which the motion of fluid particles is produced by gravity as well as external forces like fans, pumps, or any other ...devices. Such type of heat transport has a fruitful application in daily life due to reliable maintenance. In this regard, numerous researchers and analyst have focused on the importance of mixed convective flow to explore its different aspects, and frequent research articles are published in this area. In this work, mixed convective entropy optimized nanomaterial magnetohydrodynamics (MHD) flow of Ree‐Eyring fluid is discussed between two rotating disks. The effects of porosity and velocity slip are considered. Both the disks are rotating with different angular frequency and stretching rates. Modeling is performed for the energy equation subject to heat generation/absorption, dissipation, radiative heat flux, and Joule heating. Four types of irreversibilities are discussed, and total entropy rate is calculated. The obtained results are compared with past studies and found good agreement with them. The physical curiosity like skin friction and Sherwood and Nusselt numbers are numerically calculated. Series solutions are computed via homotopy method. Our obtained outcomes show that the velocity and temperature fields show contrast behavior against larger magnetic parameter. It is also noticed that the entropy rate and Bejan number have opposite behaviors against higher values of Weissenberg number. The entropy rate increases for higher Weissenberg number while Bejan number decays.
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This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐differential equations involving almost sectorial operators. The mild solutions of the problems are proved ...by using Schauder fixed‐point theorem along with measure of noncompactness. We have discussed the two cases of operators associated semigroup. Also, we consider an application via Hilfer fractional derivative system to verify the results.
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The objective of this paper is to investigate, by applying the standard Caputo fractional
-derivative of order
, the existence of solutions for the singular fractional
-integro-differential equation
..., under some boundary conditions where
is singular at some point
, on a time scale
, for
where
and
. We consider the compact map and avail the Lebesgue dominated theorem for finding solutions of the addressed problem. Besides, we prove the main results in context of completely continuous functions. Our attention is concentrated on fractional multi-step methods of both implicit and explicit type, for which sufficient existence conditions are investigated. Finally, we present some examples involving graphs, tables and algorithms to illustrate the validity of our theoretical findings.
Industrial robots have different capabilities and specifications according to the required applications. It is becoming difficult to select a suitable robot for specific applications and requirements ...due to the availability of several types with different specifications of robots in the market. Best-worst method is a useful, highly consistent and reliable method to derive weights of criteria and it is worthy to integrate it with the evaluation based on distance from average solution (EDAS) method that is more applicable and needs fewer number of calculations as compared to other methods. An example is presented to show the validity and usability of the proposed methodology. Comparison of ranking results matches with the well-known distance-based approach, technique for order preference by similarity to ideal solution and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) methods showing the robustness of the best-worst EDAS hybrid method. Sensitivity analysis performed using eighty to one ratio shows that the proposed hybrid MCDM methodology is more stable and reliable.
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Current pagination concerns with exploration regarding thermal characteristics induced by hybridization of
Fe
3
O
4
with MWCNT in a permeable tank filled with viscous fluid with magnetization. ...Roseland approximation is obliged to configure radiative heat flux aspects. Modeling and structuring of considered problem is established in partial differential setup. CVFEM is implemented to seek out solution of constructed differential layout. Data establishing properties of
Fe
3
O
4
with MWCNTs is disclosed in tabular format. Impression of sundry variables in view of isotherm and stream pattern is divulged. Local convective thermal rate against involved variables in 3D snapshots is captured. Test about grid independence and comparison with conducted work to get assurance of present finding is explicated. It is deduced that heat transfer along walls enhances verses Rayleigh and Darcy parameters whereas delineates against mounting effect of magnetic field parameter.
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Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers ...due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.
In the article, we present the best possible parameters
,
,
,
∈ ℝ and
,
∈ 1/2, 1 such that the double inequalities
hold for
,
> 0 with
≠
, and provide new bounds for the complete elliptic integral of ...the second kind, where
,
) = (
+
)/2 is the arithmetic mean,
is the quadratic mean,
,
) = (
+
)/(
+
) is the contra-harmonic mean,
;
,
) =
+ (1 –
,
+ (1 –
is the one-parameter contra-harmonic mean and
is the Toader mean of order 3.
This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis ...functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.
This study aims to explore the rheological consequences of Eyring Powell nanofluid along with the swimming characteristics of gyrotactic microorganisms over the surface of the Riga plate which is ...embedded in a porous medium. The bioconvection fluid flow phenomenon in the presence of perpendicularly applied magnetic field is investigated. The effects of nonlinear thermal radiation, heat source/sink, and activation energy subject to convective‐Nield boundary conditions are utilized in energy and concentration equations. A precise similarity transformation helps us to transform governing partial differential equations into ordinary differential equations and then numerically tackled through a well‐known shooting method. The upshots of several pertinent parameters upon the dimensionless profiles of velocity, temperature, concentration, and microorganisms are scrutinized. The heat as well as mass transfer rates and local density number are also calculated. To show the accuracy of the adopted numerical scheme a tabular comparison in limiting case is made between the present results and the results from the literature. Finally, the current study tells us that the pertinent parameters have produced a significant influence on the boundary layer profiles.
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