Analytical Solutions of the Advection–Diffusion Equation with Variable Vertical Eddy Diffusivity and Wind Speed Using Hankel Transform

2020 ◽  
Vol 177 (9) ◽  
pp. 4545-4557
Author(s):  
Khaled S. M. Essa ◽  
Ahmed S. Shalaby ◽  
Mahmoud A. E. Ibrahim ◽  
Ahmed M. Mosallem
Keyword(s):  
Wind Speed ◽  
Diffusion Equation ◽  
Analytical Solutions ◽  
Eddy Diffusivity ◽  
Hankel Transform ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Vertical Eddy Diffusivity ◽  
Vertical Eddy

scholarly journals Comparison between two analytical solutions of advection-diffusion equation using separation technique and Hankel transform

MAUSAM ◽  
2021 ◽  
Vol 72 (4) ◽  
pp. 905-914
Author(s):  
KHALED S. M. ESSA ◽  
H. M. TAHA
Keyword(s):  
Wind Speed ◽  
Diffusion Equation ◽  
Numerical Solutions ◽  
Separation Of Variables ◽  
Eddy Diffusivity ◽  
Hankel Transform ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Information Sets ◽  
Vertical Eddy Diffusivity

On this work, contrast between two analytical and numerical solutions of the advection-diffusion equation has been completed. We  use the method of separation of variables, Hankel transform and Adomian numerical method. Also, Fourier rework, and square complement methods has been used to clear up the combination. The existing version is validated with the information sets acquired at the Egyptian Atomic Energy Authority test of radioactive Iodine-135 (I135) at Inshas in unstable conditions. On this model the wind speed and vertical eddy diffusivity are taken as characteristic of vertical height in the techniques and crosswind eddy diffusivity as function in wind speed. These values of predicted and numerical concentrations are comparing with the observed data graphically and statistically.

scholarly journals Studying the variation of eddy diffusivity on the behavior of advection-diffusion equation

2018 ◽  
Vol 7 (1) ◽  
pp. 10-14
Author(s):  
Khaled Sadek Mohamed Essa ◽  
Aziz Nazer Mina ◽  
Hany Saleh Hamdy ◽  
Fawzia Mubarak ◽  
Ayman Ali khalifa
Keyword(s):  
Diffusion Equation ◽  
Eddy Diffusivity ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

scholarly journals Maximum crosswind integrated ground level concentration in two stability classes

MAUSAM ◽  
2021 ◽  
Vol 64 (4) ◽  
pp. 655-662
Author(s):  
M.ABDEL WAHAB ◽  
KHALED SMESSA ◽  
M. EMBABY ◽  
SAWSAN EMELSAID
Keyword(s):  
Wind Speed ◽  
Laplace Transformation ◽  
Ground Level ◽  
Eddy Diffusivity ◽  
Concentration Data ◽  
Transformation Technique ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Ground Level Concentration ◽  
Vertical Height

bl 'kks/k i= esa fu"izHkkoh vkSj vfLFkj fLFkfr;ksa esa ØkWliou lekdfyr lkanz.k ysus ds fy, nks fn’kkvksa esa vfHkogu folj.k lehdj.k ¼ADE½ dks gy fd;k x;k gSA ykIykl :ikarj.k rduhd dk mi;ksx rFkk m/okZ/kj Å¡pkbZ ij vk/kkfjr iou xfr vkSj Hkaoj folj.k’khyrk dh leh{kk djrs gq, ;g gy fudkyk x;k gSA blds lkFk gh Hkw&Lrj  vkSj vf/kdre lkanz.kksa dk Hkh vkdyu fd;k x;k gSA geus bl ekWMy esa iwokZuqekfur vkSj izsf{kr lkanz.k vk¡dM+ksa ds e/; rqyuk djus ds fy, dksiugsxu ¼MsuekdZ½ ls fy, x, vkuqHkfod vk¡dM+ksa dk mi;ksx fd;k gSA  The advection diffusion equation (ADE) is solved in two directions to obtain the crosswind integrated concentration in neutral and unstable conditions. The solution is solved using Laplace transformation technique and considering the wind speed and eddy diffusivity depending on the vertical height. Also the ground level and maximum concentrations are estimated. We use in this model empirical data from Copenhagen (Denmark) to compare between predicted and observed concentration data.

scholarly journals Analytical solutions to the fractional advection-diffusion equation with time-dependent pulses on the boundary

AIP Advances ◽  
2016 ◽  
Vol 6 (7) ◽  
pp. 075318 ◽  
Author(s):  
Qammar Rubbab ◽  
Itrat Abbas Mirza ◽  
M. Zubair Akbar Qureshi
Keyword(s):  
Diffusion Equation ◽  
Analytical Solutions ◽  
Time Dependent ◽  
Advection Diffusion Equation ◽  
Advection Diffusion
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