Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

It is well known that solar energy is the main source of thermal energy coming from the sun responsible for huge operations in engineering studies. It can be seen in the technology of photovoltaic cells, solar streetlights, solar energy plates, and solar water pumping. This study is for investigating solar radiation as well as a method to improve the performance of the solar water pump (SWP) with the use of solar radiation along with nanotechnology. The thermal transfer performance of the pump is checked for the case of many impacts including heat radiations and variable thermal conductivity. An Oldroyd‐B nanofluid with entropy production analysis has been scrutinized as a working coolant liquid in the system. Graphene oxide (GO) and Cu nanoparticles have been employed in engine oil (EO) as the base liquid. It is noticed that the heat transfer performance of SWP increases in the case of amplification in thermal radiation and temperature‐dependent thermal conductivity characteristics. In comparison to low thermal conductivity nanofluid, high thermal conductivity nanofluid provides the best capability for heat transmission. The thermal efficiency of the used (GO/EG) nanofluid has been enhanced by between 7.70% and 26.68% than (Cu/EO) nanofluid.

show abstract

“…The current Keller‐box approach may be used in the future for various different physical and engineering problems 48–54 …”

Section: Resultsmentioning

confidence: 99%

Raising thermal efficiency of solar water‐pump using Oldroyd‐B nanofluids' flow: An optimal thermal application

Shahzad

Jamshed

et al. 2022

Energy Science & Engineering

View full text Add to dashboard Cite

show abstract

“…Refs. [22][23][24][25] contain some relevant literature and applications of hybrid NPs in water for biomedical and engineering objectives.…”

Section: Introductionmentioning

confidence: 99%

Computational Valuation of Darcy Ternary-Hybrid Nanofluid Flow across an Extending Cylinder with Induction Effects

et al. 2022

View full text Add to dashboard Cite

The flow of an electroconductive incompressible ternary hybrid nanofluid with heat conduction in a boundary layer including metallic nanoparticles (NPs) over an extended cylindrical with magnetic induction effects is reported in this research. The ternary hybrid nanofluid has been synthesized with the dispersion of titanium dioxide, cobalt ferrite, and magnesium oxide NPs in the base fluid water. For a range of economical and biological applications, a computational model is designed to augment the mass and energy conveyance rate and promote the performance and efficiency of thermal energy propagation. The model has been written as a system of partial differential equations. Which are simplified to the system of ordinary differential equations through similarity replacements. The computing approach parametric continuation method is used to further process the resultant first order differential equations. The results are validated with the bvp4c package for accuracy and validity. The outcomes are displayed and analyzed through Figures and Tables. It has been observed that the inverse Prandtl magnetic number and a larger magnetic constant reduce the fluid flow and elevate the energy profile. The variation of ternary hybrid NPs significantly boosts the thermophysical features of the base fluid.

show abstract

“…PCM tackles a lot of challenging nonlinear boundary value problems that other numerical techniques cannot solve. Convergence is subject to the relaxation variables and initial strategy for many problems that are generally addressed by traditional computational approaches [37][38][39][40]. The PCM's goal is to determine that the proposed methodology can be used to solve complex nonlinear problems related to industry [41].…”

Section: Introductionmentioning

confidence: 99%

Melting Heat Transition in a Spinning Flow of Silver‐Magnesium Oxide/Engine Oil Hybrid Nanofluid Using Parametric Estimation

Bilal

Gul

Mouldi

et al. 2022

Journal of Nanomaterials

View full text Add to dashboard Cite

This study reports the three-dimensional (3D) flow of Ag-MgO hybrid nanofluid (HNF) over a spinning disc of flexible thickness in the presence of modified Fourier law. The HNF is contained of silver and magnetic nanoparticulate in the base fluid engine oil. The energy transition has been examined in the involvement of melting heat propagation. The highly nonlinear system of partial differential equations (PDEs) is processed by adopting the proper similarity conversions to attain the coupled ODE system. The obtained system of modeled equations is numerically solved by employing the Parametric Continuation Method (PCM). The nature of various constraints, as opposed to the velocities, energy, and mass transmission, is portrayed and described. In comparison to the simple nanofluid flow, the hybrid nanoliquid flow’s velocity and heat conduction are observed to have a significant influence. As a result, the functionality of the hybrid nanoliquid is significantly superior to that of the conventional nanofluid. The positive variation in power-law exponent n and Reynold number Re significantly enhances the fluid velocity. The effect of both melting coefficient and thermal relaxation term reduces fluid temperature.

show abstract

Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

Cited by 28 publications

References 44 publications

Raising thermal efficiency of solar water‐pump using Oldroyd‐B nanofluids' flow: An optimal thermal application

Raising thermal efficiency of solar water‐pump using Oldroyd‐B nanofluids' flow: An optimal thermal application

Computational Valuation of Darcy Ternary-Hybrid Nanofluid Flow across an Extending Cylinder with Induction Effects

Melting Heat Transition in a Spinning Flow of Silver‐Magnesium Oxide/Engine Oil Hybrid Nanofluid Using Parametric Estimation

Contact Info

Product

Resources

About