Numerical Solution with Non-Polynomial Cubic Spline Technique of Order Four Homogeneous Parabolic Partial Differential Equations

Ahmad, Bilal; Perviz, Anjum; Ahmad, Maqbool; Dayan, Fazal

doi:10.32350/sir.54.03

Cited by 2 publications

(4 citation statements)

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“…Since the Lorentz force is created by the transversal magnetic field in electrically conductive fluids. Free stream speed, however, transcends the stretching surface speed when the magnetic parameter is countered with the velocity distribution 35 , 36 . When the Maxwell parameter (Deborah number) as shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

The significance of chemical reaction, thermal buoyancy, and external heat source to optimization of heat transfer across the dynamics of Maxwell nanofluid via stretched surface

Ahmad,

Ali,

Bariq

et al. 2024

Sci Rep

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Energy loss during the transportation of energy is the main concern of researchers and industrialists. The primary cause of heat exchange gadget inefficiency during transportation was applied to traditional fluids with weak heat transfer characteristics. Instead, thermal devices worked much better when the fluids were changed to nanofluids that had good thermal transfer properties. A diverse range of nanoparticles were implemented on account of their elevated thermal conductivity. This research addresses the significance of MHD Maxwell nanofluid for heat transfer flow. The flow model comprised continuity, momentum, energy transport, and concentration equations in the form of PDEs. The developed model was converted into ODEs by using workable similarities. Numerical simulations in the MATLAB environment were employed to find the outcomes of velocity, thermal transportation, and concentration profiles. The effects of many parameters, such as Hartman, Deborah, buoyancy, the intensity of an external heat source, chemical reactions, and many others, were also evaluated. The presence of nanoparticles enhances temperature conduction. Also, the findings are compared with previously published research. In addition, the Nusselt number and skin friction increase as the variables associated with the Hartman number and buoyancy parameter grow. The respective transfer rates of heat are 28.26$$\%$$ % and 38.19$$\%$$ % respectively. As a result, the rate of heat transmission increased by 14.23$$\%$$ % . The velocity profiles enhanced while temperature profiles declined for higher values of the Maxwell fluid parameter. As the external heat source increases, the temperature profile rises. Conversely, buoyancy parameters increase as it descends. This type of problem is applicable in many fields such as heat exchangers, cooling of electronic devices, and automotive cooling systems.

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Section: Resultsmentioning

confidence: 99%

The significance of chemical reaction, thermal buoyancy, and external heat source to optimization of heat transfer across the dynamics of Maxwell nanofluid via stretched surface

Ahmad,

Ali,

Bariq

et al. 2024

Sci Rep

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“…In this chapter, we investigated the magnetized Maxwell Nanofluid flow with activation energy, mixed convection, and heat source over the stretching sheet under the limiting condition with flowing fixed values. In Figures (5,6,7) the behavior of the temperature profile is discussed for different parameters. The temperature profile shows dynamically increasing behavior for the boosted values of Brownian motion N b, thermophoresis N t, and heat sources Qs but for maxwell parameter, β, Harmat numberM , stretching parameterϵ, and buoyancy parameterλ showed diminish behavior respectively.…”

Section: Resultsmentioning

confidence: 99%

“…( 1) is satisfied identically by employing transformation, from eq(2, 3, 4) converted into nonlinear ordinary differential equations from eq. (7,8,9).…”

Section: Research Questionsmentioning

confidence: 99%

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The Role of External Heat Sources and Chemical Reactions for Enhanced Heat Transfer through Maxwell Nanofluid Flow

ahmad,

Ali,

Bariq

et al. 2023

Preprint

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This research addresses finding the dynamics of heat transfer in two-dimensional MHD Maxwell nanoflu-ids flow under the influence of mixed convection and activation energy. The heat source is strategically positioned to take advantage of convective heat transfer and increase the overall thermal performance. Numerical simulations employing computational fluid dynamics (CFD) approaches are used to evaluate the improved thermal transfer efficiency. The governing equations, which comprise the continuity, momentum, energy, and species transport equations, are addressed using appropriate similarity transformations acquired from a PDE (Partial differential equations) model that has been turned into an ODE(ordinary differential equations). MATLAB is used to solve such a nonlinear ODE model. The effects of many parameters, such as nanoparticle concentration, the intensity of an external heat source, and chemical reaction speeds, are intentionally explored. The fluid flow declaration is evaluated in terms of viscosity, and porosity. It was discovered that increasing inputs of rotation, porosity factor, activation energy, and magnetic effect resulted in a significant increase in the profile of temperature. The variational patterns of Nusselt number and skin friction are numerically performed at a rectangular stretching surface.

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Numerical Solution with Non-Polynomial Cubic Spline Technique of Order Four Homogeneous Parabolic Partial Differential Equations

Cited by 2 publications

References 0 publications

The significance of chemical reaction, thermal buoyancy, and external heat source to optimization of heat transfer across the dynamics of Maxwell nanofluid via stretched surface

The significance of chemical reaction, thermal buoyancy, and external heat source to optimization of heat transfer across the dynamics of Maxwell nanofluid via stretched surface

The Role of External Heat Sources and Chemical Reactions for Enhanced Heat Transfer through Maxwell Nanofluid Flow

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