Mathematical Modeling of Heat-Transfer for a Moving Sheet in a Moving Fluid
Publish place: Journal of Applied Fluid Mechanics، Vol: 6، Issue: 3
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
View: 181
This Paper With 5 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JAFM-6-3_007
تاریخ نمایه سازی: 5 بهمن 1400
Abstract:
A mathematical model was developed for determining the heat transfer between a moving sheet that passes through a moving fluid environment to simulate the fabrication process of sheet and fiber-like materials. Similarity transformations were introduced to reduce the governing equations to two nonlinear ordinary differential equations. For high values Prandtl number, the energy equation became much stiffer or singularly perturbed and the standard numerical methods failed to handle it. An innovative procedure combining shooting and singular perturbation technique was developed. The results show that the heat transfer depends on the relative velocity between the moving fluid and the moving sheet to a certain value after that value the relative velocity has no effect. If blowing effect is found the thermal layer becomes thinner and temperature profiles are backed together.
Keywords:
Authors
H. M. Habib
Department of Mathematics, Faculty of Science and Humanity Studies, Salman Bin AbdulAziz University, P. O. Box ۸۳, Alkharj۱۱۹۴۲, KSA.
E. R. El-Zahar
Department of Basic Engineering Science, College of Engineering, Menoufia University, Shebin El-Kom, Egypt.