Can anyone give me a third order nonlinear ordinary differential boundary value problem concerning fluid flow?

More Hetal Shah's questions See All

Can anyone suggest a recurrence relation of spline collocation for odd order ordinary differential equation?

want to know recurrence relation for solving third order b.v.p. by quintic spline formula with different boundary condition

31 December 2015 6,168 0 View

Can you suggest me general cubic spline formula for solving Third order nonlinear boundary value problem?

f"'-800ff'+100f'=0 B.C.; f(0)=1, f(1)=0 , f'(0)=0 I wish to solve it by simple cubic spline formula can you help me?

09 October 2015 10,060 0 View

How finite difference method is used in cubic spline collocation method for non linear ordinary differential equation?

Suggest me How i solve given problem with cubic spline or finete difference method or finite difference method with cubic spline. f"'+f'f"=0 B.C. f(0)=constant , f'(0)=0 and f'(infinity)=1 ?

09 October 2015 9,911 5 View

How do I convert a boundary value problem with boundary condition 0 to infinite into 0 to some constant term?

If f(0) = 0 , f '(0) = 0 , f ' (infinite) = 1 which transformation is use full to convert the limit infinite in to some finite number?

02 March 2015 2,824 7 View

Can we solve boundary value problem by spline collocation method if boundary condition lying [0 , infinite] ?

suppose my problem f'''(x)+ 3 f f''(x)- 2 f' ^ 2 (x) + w (x) = 0 w''(x) +3 Pr f (x) w' (x) =0 Pr=p Cp/k x=0 , f(0)=0 , f'(0)=0 ,w (0)=1 x tends to infinite , f' tends to 0 , w tends to...

02 March 2015 7,991 1 View

Regarding LBM in Boiling?

What should be the equation for halfway bounce back boundary condition for flow field with forcing term?

08 August 2024 7,938 1 View

How can I apply boundary conditions in an orthotropic steel deck numerical model using ABAQUS software?

I am trying to simulate vehicular loading on an orthotopic steel deck bridge section in ABAQUS software. The red arrow mark in the attached figure indicates the direction in which the vehicle will...

08 August 2024 719 0 View

Stability of the Solar System: Insights from Einstein’s Equations ?

The stability of the Solar System is a complex subject that blends the classical framework of Newtonian mechanics with the modern insights provided by General Relativity (GR). Understanding this...

07 August 2024 2,569 1 View

Request a single Lecture notes for math as detailed as this that I can find in one place?

- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...

03 August 2024 2,366 0 View

Should I remove an item from a scale to raise Cronbach's alpha and McDonald's omega or is it better to leave it if they are both over .7 already?

Hello! I have this scale which had 10 items initially. I had to remove items 8 and 10 because they correlated negatively with the scale, and then I removed item 9 because Cronbach's alpha and...

01 August 2024 4,606 7 View

Why 3 replicates for most biological assays? Is it enough to examine the data fits normal distribution?

Just bounced on me. Before statistically analysing significant difference, shouldn't we see if data fits normal distribution first? Is 3 replicates enough to testify the hypothesis of normal...

31 July 2024 8,141 13 View

What is the acceptable p-value cutoff for GO enrichment analysis ?

I have an RNA-seq data that I have analysed using Limma-voom and have extracted the gene IDs, log2FC and the p-values. At p value < 0.05, I have over 10,000 DEGs, however, when I run the GO...

31 July 2024 225 2 View

Posthoc test lettering in JAMOVI?

Does anyone know of a module for the JAMOVI software that is capable of generating mean separations using the classic letters based on post hoc results (e.g., Tukey test)? If, as I believe, such...

31 July 2024 3,333 4 View

How to do Mann-Whitney U test with Bonferroni corrected p-values?

Dear All, My lab primarily works on insect wing patterns. In one of the projects, my student and I have defined 19 abnormality characters on the forewing and 6 abnormality characters on the...

31 July 2024 6,464 5 View

CAD File of human's & rat's respiratory airways ?

Dear all, I am working on particle deposition in human's & rat's respiratory airways using CFD and I am looking for the 3D CAD file for my simulations (STEP or IGES format). If somone has such...

29 July 2024 1,092 2 View

I. Mohammed Rizwan Sadiq

Please check it out in the book below:

http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9590.2005.00310.x/abstract

Orthogonal Stagnation Point Flow (Hiemenz Flow):

y''' + yy'' - (y')^2 + 1 = 0 subject to y(0) = 0, y'(0) = 0, y'(infinity) = 0

For the above, check these websites:

1) http://www.leb.eei.uni-erlangen.de/winterakademie/2007/report/content/course01/pdf/0114.pdf

2) https://books.google.de/books?id=fwj1hKnLrcUC&pg=PA657&lpg=PA657&dq=Boundary+Value+Problems+for+Third-Order+Nonlinear+Ordinary+Differential+Equations+in+Fluid+Mechanics&source=bl&ots=5DcLKfXxmj&sig=TmV1j4_cSgn6mUtCpMWQB68wJ4M&hl=en&sa=X&ei=GAsdVZ7_FojVapeRgeAK&ved=0CDoQ6AEwBTgK#v=onepage&q=Boundary%20Value%20Problems%20for%20Third-Order%20Nonlinear%20Ordinary%20Differential%20Equations%20in%20Fluid%20Mechanics&f=false

Pedro J. Torres

I suggest you the paper:

E. O. Tuck, L. W. Schwart:A numerical and asymptotic study of some third-order ordinary differential equations relevant to draining and coating flows,SIAM Review

Volume 32 Issue 3, Sep. 1990,Pages 453 - 469

http://www.coating.udel.edu/pdfs/ts_siam.pdf