Example methods, apparatus and articles of manufacture to process measurements of wires vibrating in fluids are disclosed. A disclosed example apparatus includes a downhole assembly and a surface assembly. The downhole assembly including a sensor to measure a waveform representative of a motion of a wire vibrating within a fluid at a downhole location in a wellbore, a waveform modeler to compute a model parameter from the measured waveform, and a first telemetry module to transmit the computed model parameter to a surface location. The surface assembly including a second telemetry module to receive the computed model parameter from the downhole assembly, and a viscosity analyzer to estimate a viscosity of the fluid from the computed model parameter.