INFLUENCE OF TEMPERATURE DEPENDENT VISCOSITY, VISCOUS DISSIPATION AND JOULE HEATING ON MHD NATURAL CONVECTION FLOW: A SEMI ANALYTICAL APPROACH
DOI:
https://doi.org/10.33003/fjs-2024-0806-3045Keywords:
Temperature-dependent viscosity, Viscous dissipation, Joule heating, MHD fluid, Adomian decomposition methodAbstract
This paper investigates influences of temperature dependent viscosity, viscous dissipation and Joule heating on method MHD natural convection flow through a vertical porous channel. The equations representing the flow formation are of highest complexity as such their solutions are difficult to obtain through any analytical means. To achieve the solution, the use of Adomian decomposition of solution (ADM) is therefore deployed. The method of ADM is a semi-analytic method which is a powerful tool capable of decoupling the complexity into series form upon which a computer algebra package can be used for the final solution. This investigation may have application in the context of refining of crude oil as its components are separated under changing temperatures.
References
Adepoju, K. A., &Chukwu, O. I. (2015). Maximum Likelihood Estimation of the Kumaraswamy Exponential Distribution with Applications, Journal of Modern Applied Statistical Methods, 14(1), 208-214.
Ahmad, Z., Elgarhy, M., &Hamedani, G. G. (2018). A new Weibull-X family of distributions: properties, characterizations and applications. Journal of Statistical Distributions and Applications, 5, 1-18.
Alzaatreh A. Famoye C. & Lee C. (2014). The Gamma-Normal distribution: Properties and Applications. Computational Statistics & Data Analysis 69, 67-80, 2014. 163, 2014.
Alzaatreh, A., Lee, C. &Famoye, F. (2013). A new method for generating families of continuous distributions. Metron, 71, 63-79.
Bello O.A., Doguwa S.I., Yahaya A. & Haruna M.J. (2021). A Type I Half Logistic Exponentiated - G family of distribution; properties and applications. Communication in Physical sciences 2020, 7(3): 147-163.
Bukoye, A., & Oyeyemi, G. M. (2018). On Development of Four-Parameters Exponentiated Generalized Exponential Distribution. Pak. J. Statist, 34(4), 331-358.
Cordeiro, G. M. & de Castro, M. (2011). A new family of generalized distribution.Journal of Statistical Computations and Simulation, 81, 883-898.
Cordeiro, G. M., Saboor, A., Khan, M. N.,Ozel, G., &Pascoa, M. A. (2016). The Kumaraswamy Exponential{Weibull Distribution: Theory and Applications. Hacettepe journal of mathematics and statistics, 45(4): 1203-1229.
Elbatal, I., Louzada, F., &Granzotto, D. C. (2018). A new lifetime model: The Kumaraswamy Extension Exponential Distribution. Biostatistics and Bioinformatics, 2, 1-9.
Elgarhy, M., Shakil, M., & Kibria, G. (2017). Exponentiated Weibull-Exponential Distribution with Applications. Applications and Applied Mathematics Journal (AAM), 12(2), 5.
Eugene, N., Lee, C. &Famoye, F. (2002). The beta-normal distribution and its applications. Communications in Statistics Theory and Methods, 31, 497- 512.
Greenwood, J. A., Landwehr, J.M., &Matalas, N.C.(1979). Probability weighted moments: Definitions and relations of parameters of several distributions expressible in inverse form. Water Resources Research, 15, 1049-1054.
Gross, A.J. and Clark, V.A. (1975) Survival Distributions Reliability Applications in the Biometrical Sciences. John Wiley, New York.
Hassan, A. S. & Elgarhy, M. (2016). Kumaraswamy Weibull- generated family of distributions with applications. Advances and Application in Statistics, 48, 205-239.
Hassan, A. S., Elgarhy, M., & Ahmad, Z. (2019). Type II Generalized Topp-Leone Family of distributions: Properties and Applications. Journal of data science, 17(4).
Ismail Kolawole Adekunle, Ibrahim Sule, & Olalekan Akanji Bello (2022). On The Properties of Topp-Leone Kumaraswamy Weibul Distribution with Applications To Biomedical Data. FUDMA Journal of Sciences, 6(5):169-179.
Ibrahim S, Doguwa S.I, Isah A & Haruna J.M.(2020). The Topp Leone Kumaraswamy-G Family of Distributions with Applications to Cancer Disease Data. Journal of Biostatistics and Epidemiology 6(1), 37-48.
Kolawole I.A., Abubakar Y., Sani I.D.& Aliyu Y. (2023). On the Exponentiated Type II Generalized Topp-Leone-G Family of Distribution: Properties and Applications. Communication in Physical sciences, 11(4):792-805.
Nofal, Z. M., Afify, A. Z., Yousof, H. M., & Cordeiro, G. M. (2017). The Generalized Transmuted-G Family of distributions. Communications in Statistics-Theory and Methods, 46(8), 4119-4136.
Tahir, M.H., Zubair, M., Mansoor M., Cordeiro G. M., Alizadeh, M. &Hamedani, G. G. (2016). A New Weibull-G Family of Distributions. Hacettepe Journal of Mathematics and Statistics, Vol. 45, 2, 629-647.
Tahir, M. H., Cordeiro, G. M., Mansoor, M., & Zubair, M. (2015). The Weibull-Lomax distribution: Properties and applications. Hacettepe Journal of Mathematics andStatistics, 44, 461-480.
Torabi, H., and Montazari, N.H. (2014). The logistic-uniform distribution and its application. Communications in Statistics Simulation and Computation 43:25512569.
Yahaya A. & Doguwa S.I.S. (2021). On Theoretical Study of Rayleigh-Exponentiated Odd Generalized-X Family of Distributions.Transactions of the Nigerian Association of Mathematical Physics. (14),143 –154
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