Abstract
هذه الورقة تناقش الطاقة القصوي والدنيا في الحركة الدوامية لمائع (السائل والغاز) غير اللزج والغير مضغوط ، معتمدة علي حركتان هما : الحركة الدوامية والحركة ثنائية البعد للمائع و الخاصيتين هما للسائل غير اللزج والغير مضغوط فقط وأيضا تناقش الورقة الحمل الحراري وعلاقته بثابت بينارد الذي يحدد القيمة الحرجة لعدد رينولدز وتتناول الدراسة ايضاً مناقشة بعض التجارب مع زيت السيليكون تحت تأثير رقم براندتل (100 )
Highlights
Hydrodynamic stability has a lot in common with stability in many other fields, such as magneto hydrodynamics plasma physics, elasticity, rheology, combustion and general relativity
The physics may be very different but the mathematical essence is that the physics is modelled by nonlinear partial differential equations and the stability of known steady and unsteady solutions is examined
Hydrodynamics happens to be a mature subject, and a given motion of a fluid is often not difficult to produce and to see in a laboratory, so hydrodynamic stability has much to tell us as a prototype of nonlinear physics in a wider context
Summary
Hydrodynamic stability has a lot in common with stability in many other fields, such as magneto hydrodynamics plasma physics, elasticity, rheology, combustion and general relativity. The physics may be very different but the mathematical essence is that the physics is modelled by nonlinear partial differential equations and the stability of known steady and unsteady solutions is examined. Hydrodynamics happens to be a mature subject (the Navier-Stokes equations having been discovered in the first half of the nineteenth century), and a given motion of a fluid is often not difficult to produce and to see in a laboratory, so hydrodynamic stability has much to tell us as a prototype of nonlinear physics in a wider context. Arnol’d (1966) proved these results by use of the calculus of variations and applied them to hydrodynamic stability of various flows. Journal of Natural Sciences, Life and Applied Sciences - Issue (2) 1 - June 2017
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