Existence and nonuniqueness of similarity solutions of a boundary layer problem
 1984
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 English
National Aeronautics and Space Administration, Langley Research Center , Hampton, Va
Boundary l
Statement  M.Y. Hussaini, W.D. Lakin. 
Series  ICASE report  no. 8460., NASA contractor report  172503., NASA contractor report  NASA CR172503. 
Contributions  Lakin, William D., Langley Research Center., Institute for Computer Applications in Science and Engineering. 
The Physical Object  

Format  Microform 
Pagination  1 v. 
ID Numbers  
Open Library  OL15322538M 
The existence and uniqueness of Blasius' boundary layer solution to (), () with λ = 0 was rigorously proved by Weyl [18]. The properties of similarity solutions to the boundary layer.
Get this from a library. Existence and nonuniqueness of similarity solutions of a boundary layer problem. [M Yousuff Hussaini; William D Lakin; Langley Research Center.; Institute for Computer Applications in Science and Engineering.].
Similarity solutions of the boundarylayer equations describing mixed convection flow along a vertical plate exist if the difference between the temperature of the plate and the temperature of the. Abstract. In this paper we reconsider the problem of steady mixed convection boundarylayer ﬂow over a vertical ﬂat plate studied in [6],[7] and [13].
Under favorable assumptions, we prove existence of multiple similarity solutions, we study also their asymptotic behavior. Numerical solutions are carried out using a shooting integration.
Timol and Kalthia () also studied theoretically the existence of threedimensional boundary layer similarity solutions for power law nonNewtonian fluids under normal conditions. Howell et al. () studied the approximate solution of the boundary layer problem over horizontal moving plate.
M.Y. Hussaini, W.D. Lakin, Existence and Nonuniqueness of similarity solutions of a boundarylayer problem. Mech. Appl. Math. 39, 17–24 () MathSciNet Author: Chunqing Lu.
Similarity solutions of degenerate boundary layer equations 1. Introduction 2. Similarity reduction 3. A shooting method and preliminary results 4.
The effects of deceleration of the surface velocity 5. Global behavior of solutions 6. Conclusion Chapter Cited by: 4. The analysis deals with existence, nonuniqueness and large t behavior of solutions to the above equation under certain conditions.
We also consider the case where the solutions are singular and give the asymptotic behavior at the singular point, for −1 ≤ α Cited by: 1. The revised Buongiorno’s nanofluid model with the effect of induced magnetic field on steady magnetohydrodynamics (MHD) stagnationpoint flow of nanofluid over a stretching or shrinking sheet is investigated.
The effects of zero mass flux and suction are taken into account. A similarity transformation with symmetry variables are introduced in order to alter from the governing nonlinear Cited by: 1. The present work studies the unsteady, viscous, and incompressible laminar flow and heat transfer over a shrinking permeable cylinder.
The unsteady nonlinear Navier–Stokes and energy equations are reduced, using similarity transformations, to a Cited by: 3. The effect of transpiration on selfsimilar boundary layer flow over moving surfaces. Int. Eng. Sci.44, – [Google Scholar] Harris, S.D.; Ingham, D.B.; Pop, I.
Mixed convection boundarylayer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Transp. Porous Med.77, –Author: Anuar Jamaludin, Kohilavani Naganthran, Roslinda Nazar, Ioan Pop.
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Summary. In this article, axisymmetric solutions of the Navier–Stokes equations governing the flow induced by a halfline source when the fluid domain is bound.
One may naturally ask if such nonuniqueness holds for LerayHopf weak solutions. This problem remains open. Nonuniqueness of LerayHopf solutions were famously conjectured by Ladyzenskaja [ˇ ].
More recently, Sverˇ ak and Jia proved the nonuniqueness of LerayHopf weak solutions assuming that´ a certain spectral assumption holds []. Singular Perturbation Theory R.S. Johnson. The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems.
Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields.
Following that, 3 more chapters cover a number of more advanced topics: free boundary conditions, non quasi linear equations, and miscellaneous topics.
The book is written by applied mathematicians for applied mathematics students. MicroElectromechanical Systems (MEMS) combine electronics with microsize mechanical devices in the process of designing various types of microscopic machinery, especially those involved in conceiving and building modern sensors.
Since their initial development in the s, MEMS has revolutionized numerous branches of science and industry. Indeed, MEMSbased devices are now essential Author: Yujin Guo. Another qualitative feature of boundary layer flow that plays an important role in fluid dynamics is that it can reverse directions.
In such a scenario, the near field flow around the object is pointing in the opposite direction as the far field flow associated with the object/flow, and so the flow needs to “turn around” somewhere in the boundary layer—this was the case for the sphere.
Boundary Layers Part 4. Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.
Search results for null, Mechanical Engineering, Mathematics on De Gruyter. layer equation boundary scale field temperature instability wave flows surface interface pressure Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.
Basic concepts of forward and inverse problems, Illposedness of inverse problems, condition number, nonuniqueness and stability of solutions; L1, L2 and Lp norms, overdetermined, underdetermined and mixed determined inverse problems, quasilinear and nonlinear methods including Tikhonov’s regularization method, Singular Value Decomposion.
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Nonlinear Phenomena: nonexistence and nonuniqueness of solutions, finiteescape. Full text of "Annual Review Of Fluid Mechanics Vol 20" See other formats.
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Description Existence and nonuniqueness of similarity solutions of a boundary layer problem PDF
We prove the existence of solutions of the corresponding system of PDEs and then study the behavior of such solutions when the data of the problem vary slowly. We prove that a rescaled version of the dynamic evolutions converge to a “local” quasistatic evolution, which is an evolution satisfying an energy inequality and a momentum balance.
Collapse of npoint vortices in selfsimilar motion. It is wellknown that under very little regularity of the initial vorticity it can prove the existence of the global, regular solutions of the Euler equation in 2D Kudela H and Malecha Z Eruption of a boundary layer induced by a 2D vortex patch Fluid Dyn.
Res. 41 1–Cited by: 6. Existence and Uniqueness of Solutions The fundamental result in the theory of differential equations is the existence and uniqueness theorem for systems of first order equations. The size of the gap, in conceptual space, that separates different learning exemplars of a given learn a homophone, language learners are exposed to a discrete set of learning exemplars.
For instance, for the word bat, they would observe several animalbats and several baseball r if the underlying true concept were the broad category that encompasses animalbats, baseball Cited by: 7.
Interestingly, he solutions of the Vlasov equation, for systems with external periodic driving, are aperiodic for most initial conditions [Physics of Plas ()]. However, solutions of the Fokker Planck equation for such systems seem to be periodic asymptotically for most initial conditions [Physics of Plas ()].Inverse theory, nonuniqueness of solution. Inverse theory, Singular Value. Isostasy. Length of day. Lithosphere – Asthenosphere boundary. Solutions to providing long term, stable and economical energy is a complex problem, which links social, economical, technical and environmental issues.
boundarylayer meteorology, and.International Journal of Engineering and Advanced Technology (IJEAT) covers topics in the field of Computer Science & Engineering, Information Technology, Electronics & Communication, Electrical and Electronics, Electronics and Telecommunication, Civil Engineering, Mechanical Engineering, Textile Engineering and all interdisciplinary streams of Engineering Sciences.









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