Thermal instability of three-dimensional boundary layer stagnation point flow towards a rotating disc

• Autorzy: Mamache Samir , Mendil Fatsah , Bouda Faiçal Nait

Identyfikatory

DOI

10.24425/ather.2024.151997

• Języki publikacji: EN

Abstrakty

EN

In this paper, the thermal instability of a three-dimensional boundary layer axisymmetric stagnation point flow towards a heated horizontal rotating disk is considered. A large number of works have been done on stability analysis. However, they did not check the thermal stability of the non-parallel-flow in the face of small disturbances that occur in the vicinity of the heated rotating disk. The governing equations of the basic flow are reduced to three coupled nonlinear partial differ-ential equations, and solved numerically with the fourth-order Runge-Kutta method. Thermal stability is examined by making use of linear stability theory based on the decomposition of the normal mode of Görtler-Hammerlin. The resulting eigenvalue problem is solved numerically using a pseudo-spectral method based on the expansion of Laguerre’s polyno-mials. The obtained results are discussed in detail through multiple configurations. As the main result, for large Prandtl numbers (Pr), the rotation disk parameter (Ω) has a destabilizing effect while for small Pr (around the unity) it tends to stabilize the basic flow. It was found that as the disk radius r→0, the flow is linearly stable, and the disturbances grow rapidly away from the stagnation point. For low values of Pr, the flow becomes more stable, and strong thermal gradients are necessary to destabilize it. However, an increase in Pr leads to a significant expansion of the instability region.

Słowa kluczowe

EN

thermal instability; stagnation point; boundary layer; rotating disk; spectral method

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2024
• Tom: Vol. 45, no. 4
• Strony: 61--72
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Mamache Samir

• Université de Bejaia, Faculté de Technologie, Laboratoire de Mécanique, Matériaux et Energétique (L2ME), 06000 Bejaia, Algeria

autor

Mendil Fatsah

• Université de Bejaia, Faculté de Technologie, Laboratoire de Mécanique, Matériaux et Energétique (L2ME), 06000 Bejaia, Algeria

autor

Bouda Faiçal Nait

• Université de Bejaia, Faculté de Technologie, Laboratoire de Mécanique, Matériaux et Energétique (L2ME), 06000 Bejaia, Algeria

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