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@article{164805,
        author = {Pranab Kanti Roy and Mr. Bipattaran Raj},
        title = {Analytical solutions of variable cross-section longitudinal porous fin with power exponents of thermal parameters },
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {10},
        number = {12},
        pages = {2203-2214},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=164805},
        abstract = {The present works find the analysis of longitudinal porous fins under the influence of an external magnetic field with multiple power law-dependent parameters. The rectangular cross-section of the porous fin is the base profile and four reduced profiles such as bigger edge (BE), conventional (Conv.), smaller edge (SE) and triangular are obtained by successive reduction of tip thickness. The five geometrical shapes of rectangular, BE, Conv., SE, and triangular profiles are described by variable crossectional area which in turn defined by profile index 0, ¼, ½, 3/4, and 1 of extended length and results in one non-singular and four different singular value equations. The energy equation of basic longitudinal fins is a non-singular equation, and all reduced longitudinal porous fins are dissimilar singular-type equations.  The non-singular energy equations of longitudinal fins are solved by classical operator and four reduced longitudinal porous fins such as BE, Conv., SE, and triangular longitudinal porous fins are solved by the separate modified differential operator. The results obtained from classical ADM) are validated with the finite difference method (FDM) for the particular case of a basic rectangular porous fin. The parametric studies of various profiles on the temperature distribution are analyzed and presented.},
        keywords = {variable area; porosity; magnetic effect; modified differential operator},
        month = {August},
        }