### STUDY OF DOUBLE SLIP BOUNDARY CONDITION ON THE OSCILLATORY FLOW OF DUSTY FERROFLUID CONFINED IN A PERMEABLE CHANNEL

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#### Abstract

The effects of slips and porosity on the channel walls in the flow of a heat-absorbing/generating dusty ferrofluid streaming through a porous medium are investigated in this article. The channel is upright and subjected to a transverse magnetic flux along with thermal radiation. Kerosene with magnetite is used as the base fluid. The basic equations of the channel flow, which seem dimensional, are redesigned in a dimensionless manner utilizing non-dimensional variables. The variable separable method approach is used to solve the obtained equations analytically. The graphs demonstrate the behavior of these parameters on the flow fields, skin friction, and heat transmission rate, and are explained briefly. Results reveal that the flow velocity for heat-generating fluids is greater than the heat-absorbing liquids. The fluid velocity upsurges with the improved values of the velocity slip parameter. The heat-generating dusty liquid has a higher heat transmission rate as compared to heat-absorbing dusty liquid.

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Sunil, Sharma, D., Sharma, R.C., 2005, Effect of dust particles on thermal convection in ferromagnetic fluid saturating a porous medium, J. Magn. Magn. Mater., 288, pp. 183–195.

Sekar, R., Raju, K., 2015, Stability analysis of Soret effect on thermohaline convection in dusty ferrofluid saturating a Darcy porous medium, Glob. J. Math. Anal., 3(1), pp. 37-48.

Sulochana, C., Sandeep, N., 2016, Flow and heat transfer behavior of MHD dusty nanofluid past a porous stretching/shrinking cylinder at different temperatures, J. Appl. Fluid Mech., 9(2), pp. 543–553.

Majeed, A., Zeeshan, A., Gorla, R.S.R., 2018, Convective heat transfer in a dusty ferromagnetic fluid over a stretching surface with prescribed surface temperature/heat flux including heat source/sink, J. Natl. Sci. Found. Sri Lanka, 46(3), pp. 399–409.

Gireesha, B.J., Mahanthesh, B., Krupalakshmi, K.L., 2017, Hall effect on two-phase radiated flow of magneto-dusty-nanoliquid with irregular heat generation/consumption, Results Phys., 7, pp. 4340-4348.

Raizah, Z.A.S., 2019, Natural convection of dusty hybrid nanofluids in an enclosure including two oriented heated fins, Appl. Sci., 9, 2673.

Hatami, M., Jing, D., 2020, Peristaltic Carreau-Yasuda nanofluid flow and mixed heat transfer analysis in an asymmetric vertical and tapered wavy wall channel, Reports Mech. Eng., 1(1), pp. 128–140.

Azam, M., Mabood, F., Xu, T., Waly, M., Tlili, I.T., 2020, Entropy optimized radiative heat transportation in axisymmetric flow of Williamson nanofluid with activation energy, Results Phys., 19, 103576.

Kaneez, H., Alebraheem, J., Elmoasry, A., Saif, R.S., Nawaz, M., 2020, Numerical investigation on transport of momenta and energy in micropolar fluid suspended with dusty, mono and hybrid nano-structures, AIP Adv., 10(4), 045120.

Azam, M., Xu, T., Shakoor, A., Khan, M., 2020, Effects of Arrhenius activation energy in development of covalent bonding in axisymmetric flow of radiative-Cross nanofluid, Int. Commun. Heat Mass Transf., 113, 104547.

Nanjundappa, C.E., Pavithra, A., Shivakuamara, I.S., 2021, Effect of dusty particles on Darcy-Brinkman gravity-driven ferro-thermal-convection in a ferrofluid saturated porous layer with internal heat source: influence of boundaries, Int. J. Appl. Comput. Math., 7, 21.

Mousavi, S.M., Rostami, M.N., Yousefi, M., Dinarvand, S., 2021, Dual solutions for MHD flow of a water-based TiO2-Cu hybrid nanofluid over a continuously moving thin needle in presence of thermal radiation, Reports Mech. Eng., 2(1), pp. 31–40.

Azam, M., Xu, T., Mabood, F., Khan, M., 2021, Non-linear radiative bioconvection flow of cross nano-material with gyrotatic microorganisms and activation energy, Int. Commun. Heat Mass Transf., 127, 105530.

Hayat, T., Naz, R., Alsaedi, A., 2014, Effects of slip condition in the channel flow of nanofluid, J. Comput. Theor. Nanosci., 11(12), pp. 2618–2624.

Kamel, M.H., Eldesoky, I.M., Maher, B.M., Abumandour, R.M, 2015, Slip effects on peristaltic transport of a particle-fluid suspension in a planar channel, Appl. Bionics Biomech., 2015, 703574.

Guria, M., 2016, Effect of slip condition on vertical channel flow in the presence of radiation, Int. J. Appl. Mech. Eng., 21(2), pp. 341–358.

Panaseti, P., Georgiou, G.C., 2017, Viscoplastic flow development in a channel with slip along one wall, J. Nonnewton. Fluid Mech., 248, pp. 8–22.

Pravin K.K., Ojjela, O., Das, S.K., 2019, MHD slip flow of chemically reacting UCM fluid through a dilating channel with heat source/sink, Nonlinear Eng., 8(1), pp. 523–533.

Saleem, N., Akram, S., Afzal, F., Aly, E.H., Hussain, A., 2020, Impact of velocity second slip and inclined magnetic field on peristaltic flow coating with Jeffrey fluid in tapered channel, Coatings, 10(1), 30.

Malik, M.Y., Bibi, M., Khan, F., Salahuddin, T., 2016, Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption, AIP Adv., 6, 035101.

Pandey, A.K., Kumar, M., 2018, MHD flow inside a stretching/shrinking convergent/divergent channel with heat generation/absorption and viscous-ohmic dissipation utilizing Cu–water nanofluid, Comput. Therm. Sci., 10(5), pp. 457–471.

Jha, B.k., Malgwi, P.B., 2020, Couette flow and heat transfer of heat-generating / absorbing fluid in a rotating channel in presence of viscous dissipation, Arab J. Basic Appl. Sci., 27(1), pp. 67–74.

Mishra, A., Pandey, A.K., Chamkha, A.J., Kumar, M., 2020, Roles of nanoparticles and heat generation_absorption on MHD flow of Ag–H2O nanofluid via porous stretching-shrinking convergent-divergent channel, J. Egypt. Math. Soc., 28, 17.

Prakash, D., Elango, N., Hussain, I.S., 2020, Effect of heat generation on MHD free convective flow of viscous fluid in a vertical channel in the presence of variable properties, AIP Conference Proceedings, 2277, 030016.

Sobamowo, G., 2020, Finite element thermal analysis of a moving porous fin with temperature-variant thermal conductivity and internal heat generation, Reports Mech. Eng., 1(1), pp. 110-127.

Azam, M., Xu, T., Khan, M., 2020, Numerical simulation for variable thermal properties and heat source/sink in flow of Cross nanofluid over a moving cylinder, Int. Commun. Heat Mass Transf., 118, 104832.

Prakash, O.M., Makinde, O.D., Kumar, D., Dwivedi, Y.K., 2015, Heat transfer to MHD oscillatory dusty fluid flow in a channel filled with a porous medium, Sadhana, 40(4), pp. 1273–1282.

Gul, A., Khan, I., Shafie, S., Khalid, A., Khan, A., 2015, Heat transfer in mhd mixed convection flow of a ferrofluid along a vertical channel, PLoS One, 10(11), e0141213.

Cogley, A.C., Vincenti, W.G., Gilles, S.E., 1968, Differential approximation for radiative transfer in a nongrey gas near equilibrium,” AIAA J., 6(3), pp. 551–553.

Kandelousi, M.S., 2014, Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition, Eur. Phys. J. Plus, 129, 248.

Rashad, A.M., 2017, Impact of thermal radiation on MHD slip flow of a ferrofluid over a non-isothermal wedge, J. Magn. Magn. Mater., 422, pp. 25–31.

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