This article is related with the simulation of mass and heat relocation behavior of viscous dissipative chemically reacted Casson fluid which is flowing with impact of suction, thermal conductivity and fickle viscosity. Current conductivity along with temperature dependent viscosity changes as a linear function of temperature. First of all, leading equations are converted into dimensionless form via suitable transformations. Therefore explicit finite differential technique has solved the obtained non-dimensional, non-similar mixed nonlinear and partial differential equations with the support of Compaq Visual Fortran 6.6.a, a very well-known programing language. The behavior of various relevant parameters in the boundary profile velocity, temperature and concentration was considered realistically. Therefore, these variables have a diagrammatic influence on skin friction and the heat transference coefficient profiles. Stability and convergence tests are also carried out for the accuracy of implemented numerical scheme. One of the significant attainment is the Casson fluid parameter displayed quite interesting behavior on the velocity fields as it represented provoking behavior close to the boundary but it behaved oppositely away from the boundary surface. However, a comparison is also presented with good agreement for the validation of the current investigation.

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This study presents the exploration of unsteady magnetohydrodynamic (MHD) free convection flow of tangent hyperbolic nano-fluid flow on a moving cylinder with Brownian motion and thermophoresis effects. The current flow analysis yields nonlinear partial differential equations. The governing equations such as continuity, momentum, temperature and concentration are converted into dimensionless form and then solved numerically by adopting explicit finite difference method where Compaq Visual FORTRAN 6.6.a was also used for simulating the fluid flow system. The numerical outcomes are showed graphically to understand the result clearly. For the accurateness of the numerical technique a stability and convergence analysis was carried out. The aim was to illustrate the physical impacts of chemical reaction parameter, thermal radiation and viscous dissipation on various fluid fields along with the advanced visualization through streamlines. By comparing with the previous studies it was found that this fluid influenced the mass and heat properties more significantly rather than the other fluid. Additionally, this model predicts the shear thinning attitude significantly and describes the blood flow accurately. It has also applications in biological sciences, bio-engineering maneuver, and petroleum industries. Eventually the obtained outcomes were validated with previously published articles. KeywordsTangent hyperbolic fluid • Nanoparticle • EFDM • Chemical reaction • MHD List of symbols B 0 External magnetic field (Wb m −2 ) C P Specific heat at constant pressure (J kg −1 K −1 ) C Concentration component C w Concentration of the cylinder (mol.) C ∞ Concentration away from the cylinder C f Skin friction (-) D B Brownian diffusion coefficient D T Thermophoresis diffusion coefficient g Gravitational acceleration (m s −2 ) Gr Thermal Grashof number (-) Gm Mass Grashof number (-) Kr Chemical reaction parameter (-) Le Lewis number (-) M Magnetic parameter (-) n Power low index (-) Nb Brownian parameter (-) Nt Thermophoresis parameter (-) Nu Nusselt number (-) Pr Prandlt number (-) q r Radiative heat flux (kg m −2 ) Ra Radiation parameter (-) Sh Sherwood number (-) T Temperature (K)

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