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In this article, Cattaneo Christov heat transfer analysis in nanofluid (Ferro Fe₃O₄ and Aggregation) flow between two parallel rotating disks with different velocities determined. The relaxation time, velocity slip, heat convective boundary condition, and heat generation are also presented. The governing partial differential equation (PDEs) model is converted into a set of nonlinear ordinary differential equations (ODEs) system by similarity variables. The solution is computed of the resulting ODEs system by using the Runge Kutta (Rk) method. Here a decline is noticed in the tangential velocity for nanoparticles (Fe₃O₄ and Aggregation nanoparticle) for higher values of the porosity parameter (<i>λ</i>₁), slip parameter <i>γ</i>₁, magnetic parameter (<i>M</i>) and Reynolds number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>r</mi></msub></mrow></semantics></math></inline-formula>), while tangential velocity arises for higher values of rotation parameters (ß₁). This reduces the temperature field for nanoparticles by higher values of Eckert number (Ec), Prandtl number (Pr), Reynolds number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>r</mi></msub></mrow></semantics></math></inline-formula>), porosity parameter (λ₁), while increases for arising the values of thermal relaxation parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mn>2</mn></msub></semantics></math></inline-formula>, and for both Biot numbers (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>B</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>B</mi><mn>2</mn></msub></semantics></math></inline-formula>) nanoparticles (Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>3</mn></msub></semantics></math></inline-formula>O<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>4</mn></msub></semantics></math></inline-formula> and Aggregation nanoparticle). Further we compute the characteristics of physical quantities, namely skin friction and Nusselt number are presented.