An analysis of the semi-analytic solutions of a viscous fluid with old and new definitions of fractional derivatives

DOI10.1016/J.CJPH.2018.08.017OpenAlexW2888801852WikidataQ129332392 ScholiaQ129332392MaRDI QIDQ6117198

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Publication date: 19 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2018.08.017

zbMATH Keywords

chemical reactionfree convectionvertical plateNewtonian heatingcomparison studyconstant mass diffusionCaputo and Caputo-Fabrizio fractional derivatives

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free convection (76R10) Reaction effects in flows (76V05) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

A study on the new class of inequalities of midpoint-type and trapezoidal-type based on twice differentiable functions with conformable operators

Cites Work

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• Unsteady helical flows of a generalized Oldroyd-B fluid
• Application of numerical inverse Laplace transform algorithms in fractional calculus
• The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions
• Transient free convection with mass transfer on an isothermal vertical flat plate
• The effect of the slip boundary condition on the flow of fluids in a channel
• Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of the magnetic field
• Effects of mass transfer on the transient free convection flow of a dissipative fluid along a semi-infinite vertical plate with constant heat flux
• Solutions with Wright function for time fractional free convection flow of Casson fluid
• Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature
• The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion
• A new dissipation model based on memory mechanism
• On the Fractional Calculus Model of Viscoelastic Behavior
• Convection in Porous Media

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