Bioconvection radiative flow of Sutterby fluid beyond constant characteristics

• Magnetohydrodynamic unsteady flow of Sutterby fluid is addressed. • Variable thermal conductivity is under consideration. • Thermal radiation, Brownian motion, heat generation and thermophoresis features are discussed. • Arrhenius activation energy in binary reaction of first order is considered. Time-dependent bioconvection flow of Sutterby nanoliquid is examined. Variable thermal conductivity is taken into account. Thermal equation includes heat generation and radiation. The properties of thermophoresis and Brownian motion are examined. Additionally, activation energy and chemical reaction factors are analyzed. Nonlinear partial differential systems are transformed into ordinary systems through appropriate transformations. The dimensionless nonlinear differential equations are computed using the bvp4c technique. The study examines performance in liquid flow, concentration and microorganism dynamic and thermal fields. Computations for the Sherwood number, heat transfer rate and microbe density number are organized. Concentration, velocity, and thermal distribution for various parameters of interest are examined. Velocity is enhanced for Sutterby parameter and power law index. An increase in temperature through thermal Biot number is observed. There is a noticeable increase in density number in relation to Peclet and bioconvection Lewis numbers.