2019
DOI: 10.1002/zamm.201800323
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Effect of fractional derivatives on natural convection in a complex‐wavy‐wall surrounded enclosure filled with porous media using nanofluids

Abstract: In this paper, the heat transfer by the natural convection flow in wavy‐walls enclosures filled with porous media using nanofluids is represented by the fractional differential equations. Conformable fractional derivatives are applied on both the time and space of the governing equations. The geometry is considered as enclosures with horizontal wavy walls. The Buongiorno's model is used to simulate the nanofluids while the Darcy model is used for the porous medium. The governing equations are mapped to a recta… Show more

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Cited by 11 publications
(8 citation statements)
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“…The system of Equations (16)–(21) subjected to the dimensionless conditions (22) is treated using the SIMPLE algorithm based on FVM [48–50]. The equations are rewritten in generalized form then they are integrated as follows: Ωutrue^ΦnormalΓnormalΦgradΦntrue^dS=ΩSnormalΦdV …”
Section: Numerical Procedures Grid Independency Test and Code Verific...mentioning
confidence: 99%
“…The system of Equations (16)–(21) subjected to the dimensionless conditions (22) is treated using the SIMPLE algorithm based on FVM [48–50]. The equations are rewritten in generalized form then they are integrated as follows: Ωutrue^ΦnormalΓnormalΦgradΦntrue^dS=ΩSnormalΦdV …”
Section: Numerical Procedures Grid Independency Test and Code Verific...mentioning
confidence: 99%
“…The used algorithm is based on the FVM (the finite volume method) 48–50 . A generalized form for Equations (1)–(9) is given and then they are integrated as Ω(uˆΦnormalΓnormalΦgradΦ)×truenˆdnormalS=ΩSΦdV.…”
Section: Numerical Procedure Grid Independency Test and Code Verificationmentioning
confidence: 99%
“…They examined the carbon nanotubes (CNTs) and iron oxide Fe 3 O 4 as two distinct nanomaterials. Ahmed et al [28] represented temperature propagation in a wavy-wall impermeable enclosure through nanofluids. It was discovered that increasing the waviness of the sheet boosts both the heat transmission rate.…”
Section: Introductionmentioning
confidence: 99%