I guess you mean without using a standard device, but a standard instrument using the transient hot-wire (THW) method can be selected, which is fast among other techniques (also eliminates the error due to natural convection ). This method is used for electrically conducting liquids, for sure. Instrument consists of a simple probe having a platinum wire which is to be inserted into the liquids for the measurement. The change in the resistance of the wire is used in Wheatstone bridge circuit to get result. Or experimentally, the measurement of temperature rise T as a function of time is be employed to determine of the thermal conductivity ‘k’ using heating source (current source), high precision voltmeter, the temperature sensor, thermal isolated liquid specimen. Measure temperaute difference within a time interval:

k= (q/4π (T2-T1))*ln(t2/t1) (W•m−1•K−1)

Slope (experimentally): (T2-T1)/ln(t2/t1)

T2-T1=Temperature difference (K). t2,t1=time (s)

q, power per unit length (W•m−1)

I guess you mean without using a standard device, but a standard instrument using the transient hot-wire (THW) method can be selected, which is fast among other techniques (also eliminates the error due to natural convection ). This method is used for electrically conducting liquids, for sure. Instrument consists of a simple probe having a platinum wire which is to be inserted into the liquids for the measurement. The change in the resistance of the wire is used in Wheatstone bridge circuit to get result. Or experimentally, the measurement of temperature rise T as a function of time is be employed to determine of the thermal conductivity ‘k’ using heating source (current source), high precision voltmeter, the temperature sensor, thermal isolated liquid specimen. Measure temperaute difference within a time interval:

k= (q/4π (T2-T1))*ln(t2/t1) (W•m−1•K−1)

Slope (experimentally): (T2-T1)/ln(t2/t1)

T2-T1=Temperature difference (K). t2,t1=time (s)

q, power per unit length (W•m−1)

You can use Hot Disk method, in the same way as it is already widely used for solids. The only recommendation is not using the measurement cell provided by the supplier, which is horizontal, but building another one in which the sensor can be installed vertically. Otherwise the convection is not possible in the measurement cell, leading to strong temperature gradients and related problems.

Alain

• Thanks  Alper and Alain for your valuable suggestions. 

there are some other methodds, for example hotball, which is similar to hotwire but it is not limited to electrically conducting liquids and, does not need platinum wire.

Photothermal techniques are also suitable.

Agustín

Thanks Jose for this method But could you please little descriptive of this technique. As i feel it would work better as it doesn't has any limitation.

Thanks again for your support

If you are looking for a commercially available thermal conductivity meter for liquids,  the THW-L1 is a great option and has a new ASTM covering its use.  

That said, if you are looking to design your own thermal conductivity instrument for liquids, we may be able to assist as well.  Here is a large material data-base resource, which can be quite useful for calibrating and bench-marking your design.  We would also be happy to support with any sample testing...we like to support work like this.

https://www.thermtest.com/index.php?page=material-property-search&search=

https://www.thermtest.com/index.php?page=thw-l1

sorry for the late answer for here you have some information about hot ball technique