<p>The combined influence of electric and magnetic fields on turbulent Maxwell Nano fluid flow is investigated using the Cattaneo–Christov heat flux model over enlarging sheet. The Cattaneo–Christov heat flux model was supposed essential for examining the relaxation properties of fluid flow. This model is intended to effectively capture the features associated with thermal relaxation time. Fluid flow in unsteady state is taken. Unlike the classical Fourier’s law, the Cattaneo–Christov model includes the effects of thermal relaxation, which enhances the accuracy of predictions on thermal transport. This research seeks to address an important missing piece on the interaction of electromagnetic forces with thermal relaxation on the dynamics of nanofluids, which is important for improving energy transport systems in engineering applications. The partial deferential equation is changed into ordinary differential equation. Proper similarity variables are used. Using the Homotophy analysis method, the simulated problem is solved analytically. The key aim is to investigate the Maxwell Nano fluid under the effect of an electric and magnetic field using the Cattaneo model under a stretched sheet and to highlight the major factors which influence the flow and its heat relocation, at the same time the effect on Skin friction <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C_{f}\)</EquationSource> </InlineEquation>, Nussult number <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\text{Nu}}_{x}\)</EquationSource> </InlineEquation> and Sherwood number <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\text{Sh}}_{x}\)</EquationSource> </InlineEquation>. The influential behavior of the magnetic parameter <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(M\)</EquationSource> </InlineEquation>, thermophoresis <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(Nt,\)</EquationSource> </InlineEquation> unsteady parameter <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\lambda ,\)</EquationSource> </InlineEquation> Maxwell parameter <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\beta\)</EquationSource> </InlineEquation>, electric parameter <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(Ei\)</EquationSource> </InlineEquation>, Schmidt number <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\({\text{Sc}}\)</EquationSource> </InlineEquation><b>,</b> Prandtl number Pr on the concentration <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\phi (h)\)</EquationSource> </InlineEquation>, velocity <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(f(h)\)</EquationSource> </InlineEquation> and temperature <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\theta (h)\)</EquationSource> </InlineEquation> are studied and investigated. The results are strained explicitly to check the impact of the problem. The novelty of this study lies in its incorporation of thermal diffusion impacts and the simultaneous effect of the magnetic field, electric field along with unsteady factor, thermophoreses factor, prandtle number and deborah number are those factors which must take on board for designing nanofluids flow devices. It is suggested that the flow rate, flow type, fluid exposure to external agent must be calibrated to take required results. Taking these factors for proper designing it would numerically good results. It is the conclusion of the research.</p>

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Analysis of Cattaneo–Christov heat flux model on electrically magnetohydrodynamic unsteady Maxwell nanofluid flow over a stretching sheet

  • Hameed Khan,
  • Muhammad Haneef,
  • Waris Khan,
  • Sher Muhammad,
  • Shah Hussain,
  • Bashir Salah

摘要

The combined influence of electric and magnetic fields on turbulent Maxwell Nano fluid flow is investigated using the Cattaneo–Christov heat flux model over enlarging sheet. The Cattaneo–Christov heat flux model was supposed essential for examining the relaxation properties of fluid flow. This model is intended to effectively capture the features associated with thermal relaxation time. Fluid flow in unsteady state is taken. Unlike the classical Fourier’s law, the Cattaneo–Christov model includes the effects of thermal relaxation, which enhances the accuracy of predictions on thermal transport. This research seeks to address an important missing piece on the interaction of electromagnetic forces with thermal relaxation on the dynamics of nanofluids, which is important for improving energy transport systems in engineering applications. The partial deferential equation is changed into ordinary differential equation. Proper similarity variables are used. Using the Homotophy analysis method, the simulated problem is solved analytically. The key aim is to investigate the Maxwell Nano fluid under the effect of an electric and magnetic field using the Cattaneo model under a stretched sheet and to highlight the major factors which influence the flow and its heat relocation, at the same time the effect on Skin friction \(C_{f}\) , Nussult number \({\text{Nu}}_{x}\) and Sherwood number \({\text{Sh}}_{x}\) . The influential behavior of the magnetic parameter \(M\) , thermophoresis \(Nt,\) unsteady parameter \(\lambda ,\) Maxwell parameter \(\beta\) , electric parameter \(Ei\) , Schmidt number \({\text{Sc}}\) , Prandtl number Pr on the concentration \(\phi (h)\) , velocity \(f(h)\) and temperature \(\theta (h)\) are studied and investigated. The results are strained explicitly to check the impact of the problem. The novelty of this study lies in its incorporation of thermal diffusion impacts and the simultaneous effect of the magnetic field, electric field along with unsteady factor, thermophoreses factor, prandtle number and deborah number are those factors which must take on board for designing nanofluids flow devices. It is suggested that the flow rate, flow type, fluid exposure to external agent must be calibrated to take required results. Taking these factors for proper designing it would numerically good results. It is the conclusion of the research.