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## One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media

#### Raja Ram Yadav [1] , Joy Roy [2] , Dilip Kumar Jaiswal [3]

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A theoretical model comprising advection-dispersion equation with temporal seepage velocity, dispersion coefficient and time dependent pulse type input of uniform nature applied against the flow in a finite porous domain. Input concentration is any continuous smooth function of time acts up to some finite time and then eliminated. Concentration gradient at other boundary is proportional to concentration. Dispersion is proportional to seepage velocity. Interpolation method is applied to reduce the input function into a polynomial. Certain transformations are utilized to reduce the variable coefficient into constant coefficient in the advection dispersion equation. The Laplace transform technique is applied to get the solution of advection dispersion equation. Two different functions of input are discussed to understand the utility of the present study. Obtained result is demonstrated graphically with the help of numerical example.

Advection, Dispersion, Porous Medium, Interpolation, Laplace Transformation Technique
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Primary Language en Engineering Makaleler Author: Raja Ram YadavInstitution: University of Lucknow,Lucknow-226007,indiaCountry: India Author: Joy RoyInstitution: University of Lucknow,Lucknow-226007,indiaCountry: India Author: Dilip Kumar JaiswalInstitution: Shri Ramswaroop Memorial University, Lucknow, U.P., IndiaCountry: India Publication Date: June 30, 2019
 Bibtex @research article { ijet360571, journal = {International Journal of Engineering Technologies IJET}, issn = {2149-0104}, eissn = {2149-5262}, address = {İstanbul Gelisim University}, year = {2019}, volume = {5}, pages = {69 - 77}, doi = {}, title = {One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media}, key = {cite}, author = {Yadav, Raja Ram and Roy, Joy and Jaiswal, Dilip Kumar} } APA Yadav, R , Roy, J , Jaiswal, D . (2019). One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media. International Journal of Engineering Technologies IJET, 5 (2), 69-77. Retrieved from http://dergipark.org.tr/ijet/issue/45163/360571 MLA Yadav, R , Roy, J , Jaiswal, D . "One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media". International Journal of Engineering Technologies IJET 5 (2019): 69-77 Chicago Yadav, R , Roy, J , Jaiswal, D . "One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media". International Journal of Engineering Technologies IJET 5 (2019): 69-77 RIS TY - JOUR T1 - One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media AU - Raja Ram Yadav , Joy Roy , Dilip Kumar Jaiswal Y1 - 2019 PY - 2019 N1 - DO - T2 - International Journal of Engineering Technologies IJET JF - Journal JO - JOR SP - 69 EP - 77 VL - 5 IS - 2 SN - 2149-0104-2149-5262 M3 - UR - Y2 - 2019 ER - EndNote %0 International Journal of Engineering Technologies IJET One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media %A Raja Ram Yadav , Joy Roy , Dilip Kumar Jaiswal %T One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media %D 2019 %J International Journal of Engineering Technologies IJET %P 2149-0104-2149-5262 %V 5 %N 2 %R %U ISNAD Yadav, Raja Ram , Roy, Joy , Jaiswal, Dilip Kumar . "One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media". International Journal of Engineering Technologies IJET 5 / 2 (June 2019): 69-77. AMA Yadav R , Roy J , Jaiswal D . One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media. IJET. 2019; 5(2): 69-77. Vancouver Yadav R , Roy J , Jaiswal D . One–Dimensional Solute Transport for an Input against the Flow in a Homogeneous Finite Porous Media. International Journal of Engineering Technologies IJET. 2019; 5(2): 77-69.