A study on unsteady flow through porous media : A cubic spline collocation approach

被引:2
|
作者
Shah, Pinky [1 ]
Tandel, Priti [2 ]
Prajapati, Jyotindra [3 ]
机构
[1] Veer Narmad South Gujarat Univ, PL Chauhan Coll, Dept Math, Surat 365005, Gujarat, India
[2] Veer Narmad South Gujarat Univ, Dept Math, Surat 365005, Gujarat, India
[3] Sardar Patel Univ, Dept Math, Vallabh Vidyanagar 388120, Gujarat, India
关键词
Non-linear equation; Two-point boundary value problem; Quasi linearization technique; Cubic spline collocation method; EQUATIONS; FLUID;
D O I
10.1080/09720502.2021.1887619
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An analysis carried out to study unsteady flow through porous media. The non-linear equation governing the flow problem is transformed into linear differential equation using quasi linearization technique and solved by applying cubic spline collocation method. The obtained numerical results are compared with finite difference method to show the effectiveness and accuracy of the method.
引用
收藏
页码:1375 / 1386
页数:12
相关论文
共 50 条
  • [1] The unsteady flow of heat through porous media
    Harbert, WD
    Cain, DC
    Huntington, RL
    TRANSACTIONS OF THE AMERICAN INSTITUTE OF CHEMICAL ENGINEERS, 1941, 37 : 0267 - 0290
  • [2] Unsteady flow of heat through porous media
    Harbert, WD
    Cain, DC
    Huntington, RL
    INDUSTRIAL AND ENGINEERING CHEMISTRY, 1941, 33 : 257 - 263
  • [3] Unsteady flow of gas through porous media
    Hetherington, CR
    MacRoberts, DT
    Huntington, RL
    TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS, 1942, 146 : 166 - 174
  • [4] UNSTEADY RADIAL FLOW OF GAS THROUGH POROUS MEDIA
    JENKINS, R
    ARONOFSKY, JS
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1953, 20 (02): : 210 - 214
  • [5] UNSTEADY RADIAL FLOW OF GAS THROUGH POROUS MEDIA
    PASCHKIS, V
    JENKINS, R
    ARONOFSKY, JS
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1953, 20 (04): : 583 - 583
  • [6] DISPERSION IN UNSTEADY FLOW THROUGH INHOMOGENEOUS POROUS MEDIA.
    Kumar, Naveen
    Modelling, Measurement and Control C, 1987, 8 (01): : 33 - 41
  • [7] Dynamics of Flow Through Porous Media with Unsteady Phase Permeabilities
    D. N. Mikhailov
    V. N. Nikolaevskii
    Fluid Dynamics, 2000, 35 (5) : 715 - 724
  • [8] Study of hydraulic gradient and velocity changes of unsteady flow through coarse porous media
    Safarian, Mohsen
    Norouzi, Hadi
    Bazargan, Jalal
    INTERNATIONAL JOURNAL OF RIVER BASIN MANAGEMENT, 2022, 20 (04) : 461 - 474
  • [9] NUMERICAL-SOLUTION OF UNSTEADY-FLOW PROBLEMS IN POROUS-MEDIA BY SPLINE FUNCTIONS
    DOGRU, AH
    ALEXANDER, W
    PANTON, RL
    JOURNAL OF HYDROLOGY, 1978, 38 (1-2) : 179 - 195
  • [10] STATISTICAL APPROACH TO FLOW THROUGH POROUS MEDIA
    ARANOW, RH
    PHYSICS OF FLUIDS, 1966, 9 (09) : 1721 - &