Kindly see

http://ieeexplore.ieee.org/document/5874647/

Kindly explore this too..

http://www.sciencedirect.com/science/article/pii/S0167610513001645

Check this too..

http://onlinelibrary.wiley.com/doi/10.1002/met.1543/full

Hi Sir (Dr.Surender)

Thanks for your valuable suggestions.

But the links shared contains the vertical profile i.e. horizontal wind velocity at different altitudes.

What I am looking for is vertical wind speed i.e. speed of wind from height 01 to height 02.

Kindly suggest me with ideas if any for my above query.

Maybe your approach is a bit unorthodox. Usually, vertical transport of pollutants is derived from turbulent mixing in an atmospheric boundary layer for various stability classes (i.e. vertical mixing due to thermal stratification or buoyancy).

Only if you have specific sources of buoyancy, you could assume a stable vertical wind speed. This would give the prediction of pollution dispersion a quite new dimension.

Hi Ingo Riess

Thanks for the suggestions.

Yes your wright.

I can calculate the buoyancy using temperatures of sampling location and atmosphere.

With that I could arrive with a buoyancy rate and from that will calculate the rate of vertical speed of wind per second.

I am looking for alternate approach to calculate the same.

Maybe you could try a search for "buoyant plumes from area sources". There are a few empirical integral models that may serve your purpose. But I am not sure if that is the best approach for traffic related emissions (as indicaed by the pollutants particulate matter and NOx).

Hi Ingo

Thanks, as said will consider.

In most of the current air quality studies vertical wind field is calculated within a coupled system of models including both the fluid dynamics equations and the reaction advection diffusion equations for air pollutants. The best known example of such a system is the WRF CHEM

https://www2.acom.ucar.edu/wrf-chem

and

https://ruc.noaa.gov/wrf/wrf-chem/Tutorial.html

If your study is based on a local network of wind towers and you do not have any access to the objective analysis system you can estimate the wind field using a variational mass consistent wind model. For examples please consult

http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/09/411/9411338.pdf

and

http://journals.ametsoc.org/doi/pdf/10.1175/1520-0450%281994%29033%3C0733%3AMCWMAA%3E2.0.CO%3B2

My suggestion to you is to explore both methods. The familiarity with WRF CHEM is particularly good investment if you you are interested in pursuing air quality studies in the future.

Dear Ezhilkumar Marimuthu Rajendran,

The vertical velocity of the air can be measured or calculated. Probes, pilot balloons and Doppler radars are used for measuring vertical velocity. To calculate vertical velocity, the vertical momentum equation of the atmosphere should be used. Also, one possible method of estimating the vertical velocity is based on the integrating of the continuity equation in the vertical. For exampe, in the case of incompressible air the continuity equation can be written as delta (density) / delta (time) = 0, (e.g. Holton, 1972).

Remarks: In meteorology, under the term "wind", only a horizontal component of air movement is meant, and for the vertical component the term "vertical movement/velocity/speed" is used.

Regards,

Milivoj B. Gavrilov

Dear professor Gavrilov and Dr. Ezhilkumar Marimuthu Rajendran,

It is not possible to evaluate the vertical motion field from the continuity equation alone. One of the best arguments for this is presented by Peter Lynch in the paper: "Max Margules and his tendency equation". The text is available at:

https://maths.ucd.ie/~plynch/Publications/HistNote_05.pdf

The paper is very well written and informative; I would like to draw your attention to the last line in the first paragraph on page 4 where we can read: "... It is impossible to determine the vertical velocity from the continuity equation alone".

I hope that this is helpful.

Best regards,

J. Pudykiewicz

Dear Colleague Pudykiewicz and Dr. Ezhilkumar Marimuthu Rajendran,

Please see the attachment.

Regards,

M.B.Gavrilov

Dear Colleague Gavrilov and Dr. Ezhilkumar Marimuthu Rajendran,

The solution proposed in Holton (1972) should be complemented by the remarks from the last paragraph on the first page in Byrom and Roulston "Calculating vertical motions using Richardson's equation".

The main reason for the inadequacy of the continuity equation alone to evaluate the vertical motion is the lack of the dynamical consistency. According to Byrom and Roulston: "A solution of the continuity equation alone need not also be a solution of the full equations of motion. That is, the values of vertical velocity thus obtained may not be consistent with the horizontal momentum balance and thermodynamic"

The text of the paper is available at:

http://www.ecmwf.int/sites/default/files/elibrary/2003/8503-calculating-vertical-motion-using-richardsons-equation.pdf

I hope that this is useful as an answer to the original question (as well as a supplement to the material presented by Holton (1972)).

The problem of evaluation of vertical motions remains very difficult, even in our time.

With my best regards,

J. Pudykiewicz

PS. The observation of Margules compiled expertly by P. Lynch in the paper "Max Margules and his tendency equation" are still valid.

Respected Professors (Mr.Pudykiewicz & Mr.Gavrilov)

Thanks for your valuable suggestions.

Dear Professor,

Please refer to this URL http://nimbus.elte.hu/~bzoli/thesis/node17.html

Also a clear description and with analysis also given in the attached two papers. Please refer them, professor.

Dear Colleague Pudykiewicz and Dr. Ezhilkumar Marimuthu Rajendran,

I agree with my colleague Pudykiewicz. My only intention was to offer consistent methods for estimating "vertical wind speed". It seems to me that this discussion is more associated to the errors of methods.

With my best regards,

M.B.Gavrilov