Thermal radiation impact on hybrid nanocomposite flow in stretchable channels: a Darcy-Forchheimer model with the Taylor wavelet approach

doi:10.1007/s10483-025-3260-7

Abstract

Abstract:

The study of stretching surfaces has garnered significant attention due to its importance in a wide range of industrial and engineering functions, including the drawing of wires and plastic films, shrink film production, polymer sheet extrusion, the manufacturing of glass fibers, and the manufacturing of polyester heat-shrink tubing. This research incorporates a Darcy-Forchheimer porous medium to account for the effects of porosity. The governing equations are transformed into a boundary value problem and solved semi-analytically using the Taylor wavelet method. The effects of various parameters are depicted through graphical analyses. The results show that for both converging and diverging stretching surfaces, an increase in the porosity parameter causes a decrease in the velocity field. Additionally, higher Reynolds numbers enhance inertial effects, leading to more pronounced velocity fluctuations. Stretching causes a consistent drop in velocity toward the center and an increase close to the walls in both types of channels, indicating that the volume percentage of nanoparticles influences the heat distribution. Notably, stretching induces a marked temperature drop at the channel's center.

Key words: Darcy-Forchheimer flow, stretching wall, porous medium, convergent and divergent channel

2010 MSC Number:

O241

B. J. GIREESHA, K. J. GOWTHAM. Thermal radiation impact on hybrid nanocomposite flow in stretchable channels: a Darcy-Forchheimer model with the Taylor wavelet approach. Applied Mathematics and Mechanics (English Edition), 2025, 46(6): 1107-1124.

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Figures/Tables 16

Table 1

Fig. 1

Table 2

Thermophysical properties[39]"

Property	Blood	Ag	Fe₃O₄
$ρ / (kg ⋅ m − 3)$	1 063	10 500	5 180
$σ / (s ⋅ m − 1)$	1.09	$6.3 × 10 − 6$	$2.5 × 10 − 8$
$k / (W ⋅ m − 1 ⋅ K − 1)$	0.492	429	9.7
$c p / (J ⋅ kg − 1 ⋅ K − 1)$	3 594	235	670
$P r$	21	–	–

Table 2

Table 3

A comparative analysis of F′(1) with the existing ones when Re=50 and absence of ϕ1, ϕ2, Ec, Pr, Fr, and Kp"

$S$	$F ′ (1) (α = 5 ∘)$			$S$	$F ′ (1) (α = − 5 ∘)$
$S$	Ref. [35]	Ref. [39]	Present	$S$	Ref. [35]	Ref. [39]	Present
$− 1$	$− 3.508 103$	$− 3.508 103$	$− 3.508 103$	$− 2$	$− 5.130 922$	$− 5.130 922$	$− 5.130 922$
$− 0.5$	$− 2.173 044$	$− 2.173 044$	$− 2.173 044$	$− 1$	$− 4.652 159$	$− 4.652 159$	$− 4.652 159$
0.5	$− 0.361 846$	$− 0.361 846$	$− 0.361 846$	1	0.000 000	0.000 000	0.000 000
1	0.0	0.0	0.0	2	3.669 711	3.669 711	3.669 711

Table 3

Fig. 2

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